Conditional Probability

1. Conditional Probability : Given that an event (with non-zero probability) has occurred, the probability that event occurs is called the conditional probability of event given event , denoted as .
2. The conditional probability of event given that event has occurred is:
3. For two events and where , , and ,
   

[Explanation] and represent the probabilities of events and occurring in the entire sample space .
However, conditional probability considers a reduced sample space, where is the new sample space. Thus, means the probability of event occurring, assuming that has already occurred.

Proportion of in the entire space	Proportion of in the entire space	Proportion of within

"P"(A)=(n(A))/(n(S)) "P"(A nn B)=(n(A nn B))/(n(S)) "P"(B|A)=(n(A nn B))/(n(A)) Proportion of A in the entire space Proportion of A nn B in the entire space Proportion of B within A 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="387.947243pt" height="296.416863pt" viewBox="0 0 387.947243 296.416863" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2024-06-02T14:09:08.833256</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 296.416863 
L 387.947243 296.416863 
L 387.947243 0 
L 0 0 
z
" style="fill: #ffffff"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 17.826399 289.216863 
L 370.120844 289.216863 
Q 380.747243 289.216863 380.747243 278.590465 
L 380.747243 29.074391 
Q 380.747243 18.447992 370.120844 18.447992 
L 17.826399 18.447992 
Q 7.2 18.447992 7.2 29.074391 
L 7.2 278.590465 
Q 7.2 289.216863 17.826399 289.216863 
z
" clip-path="url(#pc353caa14e)" style="fill: #ededed; stroke: #000000; stroke-width: 3; stroke-linejoin: miter"/>
   </g>
   <g id="patch_3">
    <path d="M 193.973622 231.199286 
C 181.215481 222.724979 170.749421 211.224986 163.510968 197.727251 
C 156.272515 184.229517 152.483966 169.148564 152.483966 153.832428 
C 152.483966 138.516291 156.272515 123.435339 163.510968 109.937604 
C 170.749421 96.43987 181.215481 84.939877 193.973622 76.46557 
C 179.982525 67.172301 163.729094 61.846026 146.951372 61.056305 
C 130.173649 60.266584 113.491776 64.042607 98.689612 71.980589 
C 83.887447 79.91857 71.512111 91.725106 62.886947 106.137676 
C 54.261782 120.550245 49.705594 137.03613 49.705594 153.832428 
C 49.705594 170.628726 54.261782 187.11461 62.886947 201.52718 
C 71.512111 215.93975 83.887447 227.746285 98.689612 235.684267 
C 113.491776 243.622249 130.173649 247.398272 146.951372 246.608551 
C 163.729094 245.81883 179.982525 240.492555 193.973622 231.199286 
" clip-path="url(#pc353caa14e)" style="fill: #ffffff"/>
   </g>
   <g id="patch_4">
    <path d="M 193.973622 76.46557 
C 206.731763 84.939877 217.197822 96.43987 224.436275 109.937604 
C 231.674728 123.435339 235.463277 138.516291 235.463277 153.832428 
C 235.463277 169.148564 231.674728 184.229517 224.436275 197.727251 
C 217.197822 211.224986 206.731763 222.724979 193.973622 231.199286 
C 207.964718 240.492555 224.218149 245.81883 240.995871 246.608551 
C 257.773594 247.398272 274.455467 243.622249 289.257631 235.684267 
C 304.059796 227.746285 316.435132 215.93975 325.060296 201.52718 
C 333.685461 187.11461 338.241649 170.628726 338.241649 153.832428 
C 338.241649 137.03613 333.685461 120.550245 325.060296 106.137676 
C 316.435132 91.725106 304.059796 79.91857 289.257631 71.980589 
C 274.455467 64.042607 257.773594 60.266584 240.995871 61.056305 
C 224.218149 61.846026 207.964718 67.172301 193.973622 76.46557 
" clip-path="url(#pc353caa14e)" style="fill: #ffffff"/>
   </g>
   <g id="patch_5">
    <path d="M 193.973622 231.199286 
C 206.731763 222.724979 217.197822 211.224986 224.436275 197.727251 
C 231.674728 184.229517 235.463277 169.148564 235.463277 153.832428 
C 235.463277 138.516291 231.674728 123.435339 224.436275 109.937604 
C 217.197822 96.43987 206.731763 84.939877 193.973622 76.46557 
C 181.215481 84.939877 170.749421 96.43987 163.510968 109.937604 
C 156.272515 123.435339 152.483966 138.516291 152.483966 153.832428 
C 152.483966 169.148564 156.272515 184.229517 163.510968 197.727251 
C 170.749421 211.224986 181.215481 222.724979 193.973622 231.199286 
" clip-path="url(#pc353caa14e)" style="fill: #ffffff"/>
   </g>
   <g id="patch_6">
    <path d="M 193.973622 76.46557 
C 206.731763 84.939877 217.197822 96.43987 224.436275 109.937604 
C 231.674728 123.435339 235.463277 138.516291 235.463277 153.832428 
C 235.463277 169.148564 231.674728 184.229517 224.436275 197.727251 
C 217.197822 211.224986 206.731763 222.724979 193.973622 231.199286 
C 207.964718 240.492555 224.218149 245.81883 240.995871 246.608551 
C 257.773594 247.398272 274.455467 243.622249 289.257631 235.684267 
C 304.059796 227.746285 316.435132 215.93975 325.060296 201.52718 
C 333.685461 187.11461 338.241649 170.628726 338.241649 153.832428 
C 338.241649 137.03613 333.685461 120.550245 325.060296 106.137676 
C 316.435132 91.725106 304.059796 79.91857 289.257631 71.980589 
C 274.455467 64.042607 257.773594 60.266584 240.995871 61.056305 
C 224.218149 61.846026 207.964718 67.172301 193.973622 76.46557 
" clip-path="url(#pc353caa14e)" style="fill: #ededed; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_7">
    <path d="M 193.973622 231.199286 
C 206.731763 222.724979 217.197822 211.224986 224.436275 197.727251 
C 231.674728 184.229517 235.463277 169.148564 235.463277 153.832428 
C 235.463277 138.516291 231.674728 123.435339 224.436275 109.937604 
C 217.197822 96.43987 206.731763 84.939877 193.973622 76.46557 
C 181.215481 84.939877 170.749421 96.43987 163.510968 109.937604 
C 156.272515 123.435339 152.483966 138.516291 152.483966 153.832428 
C 152.483966 169.148564 156.272515 184.229517 163.510968 197.727251 
C 170.749421 211.224986 181.215481 222.724979 193.973622 231.199286 
" clip-path="url(#pc353caa14e)" style="fill: url(#h951cc1ded5); stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_8">
    <path d="M 245.362807 246.711269 
C 269.994564 246.711269 293.620784 236.924968 311.038066 219.507686 
C 328.455348 202.090404 338.241649 178.464184 338.241649 153.832428 
C 338.241649 129.200671 328.455348 105.574451 311.038066 88.157169 
C 293.620784 70.739887 269.994564 60.953587 245.362807 60.953587 
C 220.731051 60.953587 197.104831 70.739887 179.687549 88.157169 
C 162.270267 105.574451 152.483966 129.200671 152.483966 153.832428 
C 152.483966 178.464184 162.270267 202.090404 179.687549 219.507686 
C 197.104831 236.924968 220.731051 246.711269 245.362807 246.711269 
L 245.362807 246.711269 
z
" clip-path="url(#pc353caa14e)" style="fill: none; stroke: #000000; stroke-width: 2.5; stroke-linejoin: miter"/>
   </g>
   <g id="patch_9">
    <path d="M 193.973622 231.199286 
C 181.215481 222.724979 170.749421 211.224986 163.510968 197.727251 
C 156.272515 184.229517 152.483966 169.148564 152.483966 153.832428 
C 152.483966 138.516291 156.272515 123.435339 163.510968 109.937604 
C 170.749421 96.43987 181.215481 84.939877 193.973622 76.46557 
C 179.982525 67.172301 163.729094 61.846026 146.951372 61.056305 
C 130.173649 60.266584 113.491776 64.042607 98.689612 71.980589 
C 83.887447 79.91857 71.512111 91.725106 62.886947 106.137676 
C 54.261782 120.550245 49.705594 137.03613 49.705594 153.832428 
C 49.705594 170.628726 54.261782 187.11461 62.886947 201.52718 
C 71.512111 215.93975 83.887447 227.746285 98.689612 235.684267 
C 113.491776 243.622249 130.173649 247.398272 146.951372 246.608551 
C 163.729094 245.81883 179.982525 240.492555 193.973622 231.199286 
" clip-path="url(#pc353caa14e)" style="fill: url(#h951cc1ded5); stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_10">
    <path d="M 142.584436 246.711269 
C 167.216192 246.711269 190.842412 236.924968 208.259694 219.507686 
C 225.676976 202.090404 235.463277 178.464184 235.463277 153.832428 
C 235.463277 129.200671 225.676976 105.574451 208.259694 88.157169 
C 190.842412 70.739887 167.216192 60.953587 142.584436 60.953587 
C 117.952679 60.953587 94.326459 70.739887 76.909177 88.157169 
C 59.491895 105.574451 49.705594 129.200671 49.705594 153.832428 
C 49.705594 178.464184 59.491895 202.090404 76.909177 219.507686 
C 94.326459 236.924968 117.952679 246.711269 142.584436 246.711269 
L 142.584436 246.711269 
z
" clip-path="url(#pc353caa14e)" style="fill: none; stroke: #000000; stroke-width: 2.5; stroke-linejoin: miter"/>
   </g>
   <g id="patch_11">
    <path d="M 121.714111 64.570679 
L 164.219705 64.570679 
L 164.219705 60.32012 
L 121.714111 60.32012 
z
" clip-path="url(#pc353caa14e)" style="fill: #ededed; stroke: #ededed; stroke-linejoin: miter"/>
   </g>
   <g id="patch_12">
    <path d="M 225.852817 64.570679 
L 268.358412 64.570679 
L 268.358412 60.32012 
L 225.852817 60.32012 
z
" clip-path="url(#pc353caa14e)" style="fill: #ededed; stroke: #ededed; stroke-linejoin: miter"/>
   </g>
   <g id="patch_13">
    <path d="M 45.204041 19.939805 
L 108.962433 19.939805 
L 108.962433 17.814525 
L 45.204041 17.814525 
z
" clip-path="url(#pc353caa14e)" style="fill: #ededed; stroke: #ededed; stroke-linejoin: miter"/>
   </g>
   <g id="text_1">
    <!-- $A$ -->
    <g transform="translate(128.044251 73.28688) scale(0.35 -0.35)">
     <defs>
      <path id="CMMI12-41" d="M 1088 691 
C 864 314 646 186 339 186 
C 269 180 218 180 218 58 
C 218 24 250 0 294 0 
C 410 0 698 0 813 0 
C 998 0 1203 0 1382 0 
C 1421 0 1498 0 1498 122 
C 1498 180 1446 186 1408 186 
C 1261 186 1139 236 1139 388 
C 1139 476 1178 546 1261 685 
L 1747 1479 
L 3379 1479 
C 3386 1423 3386 1373 3392 1316 
C 3411 1152 3488 495 3488 376 
C 3488 186 3162 186 3059 186 
C 2989 186 2918 186 2918 70 
C 2918 0 2976 0 3014 0 
C 3123 0 3251 0 3360 0 
L 3725 0 
C 4115 0 4397 0 4403 0 
C 4448 0 4518 0 4518 122 
C 4518 186 4461 186 4365 186 
C 4013 186 4006 244 3987 434 
L 3597 4404 
C 3584 4531 3558 4544 3488 4544 
C 3424 4544 3386 4531 3328 4435 
L 1088 691 
z
M 1856 1664 
L 3142 3819 
L 3360 1664 
L 1856 1664 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-41" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $B$ -->
    <g transform="translate(234.136716 73.28688) scale(0.35 -0.35)">
     <defs>
      <path id="CMMI12-42" d="M 2342 3921 
C 2400 4160 2426 4160 2675 4160 
L 3507 4160 
C 4230 4160 4230 3544 4230 3485 
C 4230 2966 3712 2304 2867 2304 
L 1946 2304 
L 2342 3921 
z
M 3424 2275 
C 4122 2402 4755 2886 4755 3473 
C 4755 3970 4314 4352 3590 4352 
L 1536 4352 
C 1414 4352 1357 4352 1357 4226 
C 1357 4160 1414 4160 1510 4160 
C 1901 4160 1901 4112 1901 4044 
C 1901 4032 1901 3993 1875 3897 
L 1011 472 
C 954 249 941 185 493 185 
C 371 185 307 185 307 70 
C 307 0 346 0 474 0 
L 2669 0 
C 3648 0 4403 739 4403 1383 
C 4403 1906 3942 2224 3424 2275 
z
M 2515 185 
L 1651 185 
C 1562 185 1549 185 1510 192 
C 1440 198 1434 211 1434 261 
C 1434 305 1446 343 1459 399 
L 1907 2176 
L 3110 2176 
C 3866 2176 3866 1483 3866 1433 
C 3866 828 3309 185 2515 185 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-42" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_3">
    <g id="patch_14">
     <path d="M 62.734202 42.047103 
L 91.432272 42.047103 
L 91.432272 3.35 
L 62.734202 3.35 
L 62.734202 42.047103 
z
" style="fill: none"/>
    </g>
    <!-- $S$ -->
    <g transform="translate(66.584202 31.414752) scale(0.35 -0.35)">
     <defs>
      <path id="CMMI12-53" d="M 4064 4423 
C 4064 4480 4019 4480 4006 4480 
C 3981 4480 3974 4474 3898 4378 
C 3859 4333 3597 4001 3590 3995 
C 3379 4410 2957 4480 2688 4480 
C 1875 4480 1139 3743 1139 3025 
C 1139 2549 1427 2269 1741 2161 
C 1811 2135 2189 2033 2381 1989 
C 2707 1900 2790 1875 2925 1735 
C 2950 1703 3078 1557 3078 1258 
C 3078 667 2528 57 1888 57 
C 1363 57 781 280 781 991 
C 781 1112 806 1265 826 1328 
C 826 1348 832 1378 832 1391 
C 832 1417 819 1449 768 1449 
C 710 1449 704 1436 678 1328 
L 352 24 
C 352 18 326 -64 326 -71 
C 326 -128 378 -128 390 -128 
C 416 -128 422 -122 499 -26 
L 794 356 
C 947 126 1280 -128 1875 -128 
C 2701 -128 3456 666 3456 1460 
C 3456 1728 3392 1963 3149 2197 
C 3014 2331 2899 2363 2310 2516 
C 1882 2630 1824 2649 1709 2751 
C 1600 2858 1517 3011 1517 3227 
C 1517 3761 2061 4308 2669 4308 
C 3296 4308 3590 3926 3590 3323 
C 3590 3158 3558 2986 3558 2961 
C 3558 2903 3610 2903 3629 2903 
C 3686 2903 3693 2922 3718 3024 
L 4064 4423 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-53" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="pc353caa14e">
   <rect x="7.2" y="18.447992" width="373.547243" height="270.768871"/>
  </clipPath>
 </defs>
 <defs>
  <pattern id="h951cc1ded5" patternUnits="userSpaceOnUse" x="0" y="0" width="72" height="72">
   <rect x="0" y="0" width="73" height="73" fill="#ededed"/>
   <path d="M -36 36 
L 36 -36 
M -30 42 
L 42 -30 
M -24 48 
L 48 -24 
M -18 54 
L 54 -18 
M -12 60 
L 60 -12 
M -6 66 
L 66 -6 
M 0 72 
L 72 0 
M 6 78 
L 78 6 
M 12 84 
L 84 12 
M 18 90 
L 90 18 
M 24 96 
L 96 24 
M 30 102 
L 102 30 
M 36 108 
L 108 36 
" style="fill: #000000; stroke: #000000; stroke-width: 1.0; stroke-linecap: butt; stroke-linejoin: miter"/>
  </pattern>
 </defs>
</svg>
' 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="387.947243pt" height="296.416863pt" viewBox="0 0 387.947243 296.416863" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2024-06-02T14:25:07.484604</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 296.416863 
L 387.947243 296.416863 
L 387.947243 0 
L 0 0 
z
" style="fill: #ffffff"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 17.826399 289.216863 
L 370.120844 289.216863 
Q 380.747243 289.216863 380.747243 278.590465 
L 380.747243 29.074391 
Q 380.747243 18.447992 370.120844 18.447992 
L 17.826399 18.447992 
Q 7.2 18.447992 7.2 29.074391 
L 7.2 278.590465 
Q 7.2 289.216863 17.826399 289.216863 
z
" clip-path="url(#pf352a7b64d)" style="fill: #ededed; stroke: #000000; stroke-width: 3; stroke-linejoin: miter"/>
   </g>
   <g id="patch_3">
    <path d="M 193.973622 231.199286 
C 181.215481 222.724979 170.749421 211.224986 163.510968 197.727251 
C 156.272515 184.229517 152.483966 169.148564 152.483966 153.832428 
C 152.483966 138.516291 156.272515 123.435339 163.510968 109.937604 
C 170.749421 96.43987 181.215481 84.939877 193.973622 76.46557 
C 179.982525 67.172301 163.729094 61.846026 146.951372 61.056305 
C 130.173649 60.266584 113.491776 64.042607 98.689612 71.980589 
C 83.887447 79.91857 71.512111 91.725106 62.886947 106.137676 
C 54.261782 120.550245 49.705594 137.03613 49.705594 153.832428 
C 49.705594 170.628726 54.261782 187.11461 62.886947 201.52718 
C 71.512111 215.93975 83.887447 227.746285 98.689612 235.684267 
C 113.491776 243.622249 130.173649 247.398272 146.951372 246.608551 
C 163.729094 245.81883 179.982525 240.492555 193.973622 231.199286 
" clip-path="url(#pf352a7b64d)" style="fill: #ffffff"/>
   </g>
   <g id="patch_4">
    <path d="M 193.973622 76.46557 
C 206.731763 84.939877 217.197822 96.43987 224.436275 109.937604 
C 231.674728 123.435339 235.463277 138.516291 235.463277 153.832428 
C 235.463277 169.148564 231.674728 184.229517 224.436275 197.727251 
C 217.197822 211.224986 206.731763 222.724979 193.973622 231.199286 
C 207.964718 240.492555 224.218149 245.81883 240.995871 246.608551 
C 257.773594 247.398272 274.455467 243.622249 289.257631 235.684267 
C 304.059796 227.746285 316.435132 215.93975 325.060296 201.52718 
C 333.685461 187.11461 338.241649 170.628726 338.241649 153.832428 
C 338.241649 137.03613 333.685461 120.550245 325.060296 106.137676 
C 316.435132 91.725106 304.059796 79.91857 289.257631 71.980589 
C 274.455467 64.042607 257.773594 60.266584 240.995871 61.056305 
C 224.218149 61.846026 207.964718 67.172301 193.973622 76.46557 
" clip-path="url(#pf352a7b64d)" style="fill: #ffffff"/>
   </g>
   <g id="patch_5">
    <path d="M 193.973622 231.199286 
C 206.731763 222.724979 217.197822 211.224986 224.436275 197.727251 
C 231.674728 184.229517 235.463277 169.148564 235.463277 153.832428 
C 235.463277 138.516291 231.674728 123.435339 224.436275 109.937604 
C 217.197822 96.43987 206.731763 84.939877 193.973622 76.46557 
C 181.215481 84.939877 170.749421 96.43987 163.510968 109.937604 
C 156.272515 123.435339 152.483966 138.516291 152.483966 153.832428 
C 152.483966 169.148564 156.272515 184.229517 163.510968 197.727251 
C 170.749421 211.224986 181.215481 222.724979 193.973622 231.199286 
" clip-path="url(#pf352a7b64d)" style="fill: #ffffff"/>
   </g>
   <g id="patch_6">
    <path d="M 193.973622 76.46557 
C 206.731763 84.939877 217.197822 96.43987 224.436275 109.937604 
C 231.674728 123.435339 235.463277 138.516291 235.463277 153.832428 
C 235.463277 169.148564 231.674728 184.229517 224.436275 197.727251 
C 217.197822 211.224986 206.731763 222.724979 193.973622 231.199286 
C 207.964718 240.492555 224.218149 245.81883 240.995871 246.608551 
C 257.773594 247.398272 274.455467 243.622249 289.257631 235.684267 
C 304.059796 227.746285 316.435132 215.93975 325.060296 201.52718 
C 333.685461 187.11461 338.241649 170.628726 338.241649 153.832428 
C 338.241649 137.03613 333.685461 120.550245 325.060296 106.137676 
C 316.435132 91.725106 304.059796 79.91857 289.257631 71.980589 
C 274.455467 64.042607 257.773594 60.266584 240.995871 61.056305 
C 224.218149 61.846026 207.964718 67.172301 193.973622 76.46557 
" clip-path="url(#pf352a7b64d)" style="fill: #ededed; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_7">
    <path d="M 193.973622 231.199286 
C 206.731763 222.724979 217.197822 211.224986 224.436275 197.727251 
C 231.674728 184.229517 235.463277 169.148564 235.463277 153.832428 
C 235.463277 138.516291 231.674728 123.435339 224.436275 109.937604 
C 217.197822 96.43987 206.731763 84.939877 193.973622 76.46557 
C 181.215481 84.939877 170.749421 96.43987 163.510968 109.937604 
C 156.272515 123.435339 152.483966 138.516291 152.483966 153.832428 
C 152.483966 169.148564 156.272515 184.229517 163.510968 197.727251 
C 170.749421 211.224986 181.215481 222.724979 193.973622 231.199286 
" clip-path="url(#pf352a7b64d)" style="fill: url(#h869a90d9d5); stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_8">
    <path d="M 245.362807 246.711269 
C 269.994564 246.711269 293.620784 236.924968 311.038066 219.507686 
C 328.455348 202.090404 338.241649 178.464184 338.241649 153.832428 
C 338.241649 129.200671 328.455348 105.574451 311.038066 88.157169 
C 293.620784 70.739887 269.994564 60.953587 245.362807 60.953587 
C 220.731051 60.953587 197.104831 70.739887 179.687549 88.157169 
C 162.270267 105.574451 152.483966 129.200671 152.483966 153.832428 
C 152.483966 178.464184 162.270267 202.090404 179.687549 219.507686 
C 197.104831 236.924968 220.731051 246.711269 245.362807 246.711269 
L 245.362807 246.711269 
z
" clip-path="url(#pf352a7b64d)" style="fill: none; stroke: #000000; stroke-width: 2.5; stroke-linejoin: miter"/>
   </g>
   <g id="patch_9">
    <path d="M 193.973622 231.199286 
C 181.215481 222.724979 170.749421 211.224986 163.510968 197.727251 
C 156.272515 184.229517 152.483966 169.148564 152.483966 153.832428 
C 152.483966 138.516291 156.272515 123.435339 163.510968 109.937604 
C 170.749421 96.43987 181.215481 84.939877 193.973622 76.46557 
C 179.982525 67.172301 163.729094 61.846026 146.951372 61.056305 
C 130.173649 60.266584 113.491776 64.042607 98.689612 71.980589 
C 83.887447 79.91857 71.512111 91.725106 62.886947 106.137676 
C 54.261782 120.550245 49.705594 137.03613 49.705594 153.832428 
C 49.705594 170.628726 54.261782 187.11461 62.886947 201.52718 
C 71.512111 215.93975 83.887447 227.746285 98.689612 235.684267 
C 113.491776 243.622249 130.173649 247.398272 146.951372 246.608551 
C 163.729094 245.81883 179.982525 240.492555 193.973622 231.199286 
" clip-path="url(#pf352a7b64d)" style="fill: #ededed; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_10">
    <path d="M 142.584436 246.711269 
C 167.216192 246.711269 190.842412 236.924968 208.259694 219.507686 
C 225.676976 202.090404 235.463277 178.464184 235.463277 153.832428 
C 235.463277 129.200671 225.676976 105.574451 208.259694 88.157169 
C 190.842412 70.739887 167.216192 60.953587 142.584436 60.953587 
C 117.952679 60.953587 94.326459 70.739887 76.909177 88.157169 
C 59.491895 105.574451 49.705594 129.200671 49.705594 153.832428 
C 49.705594 178.464184 59.491895 202.090404 76.909177 219.507686 
C 94.326459 236.924968 117.952679 246.711269 142.584436 246.711269 
L 142.584436 246.711269 
z
" clip-path="url(#pf352a7b64d)" style="fill: none; stroke: #000000; stroke-width: 2.5; stroke-linejoin: miter"/>
   </g>
   <g id="patch_11">
    <path d="M 121.714111 64.570679 
L 164.219705 64.570679 
L 164.219705 60.32012 
L 121.714111 60.32012 
z
" clip-path="url(#pf352a7b64d)" style="fill: #ededed; stroke: #ededed; stroke-linejoin: miter"/>
   </g>
   <g id="patch_12">
    <path d="M 225.852817 64.570679 
L 268.358412 64.570679 
L 268.358412 60.32012 
L 225.852817 60.32012 
z
" clip-path="url(#pf352a7b64d)" style="fill: #ededed; stroke: #ededed; stroke-linejoin: miter"/>
   </g>
   <g id="patch_13">
    <path d="M 45.204041 19.939805 
L 108.962433 19.939805 
L 108.962433 17.814525 
L 45.204041 17.814525 
z
" clip-path="url(#pf352a7b64d)" style="fill: #ededed; stroke: #ededed; stroke-linejoin: miter"/>
   </g>
   <g id="text_1">
    <!-- $A$ -->
    <g transform="translate(128.044251 73.28688) scale(0.35 -0.35)">
     <defs>
      <path id="CMMI12-41" d="M 1088 691 
C 864 314 646 186 339 186 
C 269 180 218 180 218 58 
C 218 24 250 0 294 0 
C 410 0 698 0 813 0 
C 998 0 1203 0 1382 0 
C 1421 0 1498 0 1498 122 
C 1498 180 1446 186 1408 186 
C 1261 186 1139 236 1139 388 
C 1139 476 1178 546 1261 685 
L 1747 1479 
L 3379 1479 
C 3386 1423 3386 1373 3392 1316 
C 3411 1152 3488 495 3488 376 
C 3488 186 3162 186 3059 186 
C 2989 186 2918 186 2918 70 
C 2918 0 2976 0 3014 0 
C 3123 0 3251 0 3360 0 
L 3725 0 
C 4115 0 4397 0 4403 0 
C 4448 0 4518 0 4518 122 
C 4518 186 4461 186 4365 186 
C 4013 186 4006 244 3987 434 
L 3597 4404 
C 3584 4531 3558 4544 3488 4544 
C 3424 4544 3386 4531 3328 4435 
L 1088 691 
z
M 1856 1664 
L 3142 3819 
L 3360 1664 
L 1856 1664 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-41" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $B$ -->
    <g transform="translate(234.136716 73.28688) scale(0.35 -0.35)">
     <defs>
      <path id="CMMI12-42" d="M 2342 3921 
C 2400 4160 2426 4160 2675 4160 
L 3507 4160 
C 4230 4160 4230 3544 4230 3485 
C 4230 2966 3712 2304 2867 2304 
L 1946 2304 
L 2342 3921 
z
M 3424 2275 
C 4122 2402 4755 2886 4755 3473 
C 4755 3970 4314 4352 3590 4352 
L 1536 4352 
C 1414 4352 1357 4352 1357 4226 
C 1357 4160 1414 4160 1510 4160 
C 1901 4160 1901 4112 1901 4044 
C 1901 4032 1901 3993 1875 3897 
L 1011 472 
C 954 249 941 185 493 185 
C 371 185 307 185 307 70 
C 307 0 346 0 474 0 
L 2669 0 
C 3648 0 4403 739 4403 1383 
C 4403 1906 3942 2224 3424 2275 
z
M 2515 185 
L 1651 185 
C 1562 185 1549 185 1510 192 
C 1440 198 1434 211 1434 261 
C 1434 305 1446 343 1459 399 
L 1907 2176 
L 3110 2176 
C 3866 2176 3866 1483 3866 1433 
C 3866 828 3309 185 2515 185 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-42" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_3">
    <g id="patch_14">
     <path d="M 62.734202 42.047103 
L 91.432272 42.047103 
L 91.432272 3.35 
L 62.734202 3.35 
L 62.734202 42.047103 
z
" style="fill: none"/>
    </g>
    <!-- $S$ -->
    <g transform="translate(66.584202 31.414752) scale(0.35 -0.35)">
     <defs>
      <path id="CMMI12-53" d="M 4064 4423 
C 4064 4480 4019 4480 4006 4480 
C 3981 4480 3974 4474 3898 4378 
C 3859 4333 3597 4001 3590 3995 
C 3379 4410 2957 4480 2688 4480 
C 1875 4480 1139 3743 1139 3025 
C 1139 2549 1427 2269 1741 2161 
C 1811 2135 2189 2033 2381 1989 
C 2707 1900 2790 1875 2925 1735 
C 2950 1703 3078 1557 3078 1258 
C 3078 667 2528 57 1888 57 
C 1363 57 781 280 781 991 
C 781 1112 806 1265 826 1328 
C 826 1348 832 1378 832 1391 
C 832 1417 819 1449 768 1449 
C 710 1449 704 1436 678 1328 
L 352 24 
C 352 18 326 -64 326 -71 
C 326 -128 378 -128 390 -128 
C 416 -128 422 -122 499 -26 
L 794 356 
C 947 126 1280 -128 1875 -128 
C 2701 -128 3456 666 3456 1460 
C 3456 1728 3392 1963 3149 2197 
C 3014 2331 2899 2363 2310 2516 
C 1882 2630 1824 2649 1709 2751 
C 1600 2858 1517 3011 1517 3227 
C 1517 3761 2061 4308 2669 4308 
C 3296 4308 3590 3926 3590 3323 
C 3590 3158 3558 2986 3558 2961 
C 3558 2903 3610 2903 3629 2903 
C 3686 2903 3693 2922 3718 3024 
L 4064 4423 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-53" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="pf352a7b64d">
   <rect x="7.2" y="18.447992" width="373.547243" height="270.768871"/>
  </clipPath>
 </defs>
 <defs>
  <pattern id="h869a90d9d5" patternUnits="userSpaceOnUse" x="0" y="0" width="72" height="72">
   <rect x="0" y="0" width="73" height="73" fill="#ededed"/>
   <path d="M -36 36 
L 36 -36 
M -30 42 
L 42 -30 
M -24 48 
L 48 -24 
M -18 54 
L 54 -18 
M -12 60 
L 60 -12 
M -6 66 
L 66 -6 
M 0 72 
L 72 0 
M 6 78 
L 78 6 
M 12 84 
L 84 12 
M 18 90 
L 90 18 
M 24 96 
L 96 24 
M 30 102 
L 102 30 
M 36 108 
L 108 36 
" style="fill: #000000; stroke: #000000; stroke-width: 1.0; stroke-linecap: butt; stroke-linejoin: miter"/>
  </pattern>
 </defs>
</svg>
' 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="387.947243pt" height="296.416863pt" viewBox="0 0 387.947243 296.416863" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2024-06-02T14:09:00.658789</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 296.416863 
L 387.947243 296.416863 
L 387.947243 0 
L 0 0 
z
" style="fill: #ffffff"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 17.826399 289.216863 
L 370.120844 289.216863 
Q 380.747243 289.216863 380.747243 278.590465 
L 380.747243 29.074391 
Q 380.747243 18.447992 370.120844 18.447992 
L 17.826399 18.447992 
Q 7.2 18.447992 7.2 29.074391 
L 7.2 278.590465 
Q 7.2 289.216863 17.826399 289.216863 
L 17.826399 289.216863 
z
" clip-path="url(#pba0c42e57e)" style="fill: none; stroke: #000000; stroke-width: 3; stroke-linejoin: miter"/>
   </g>
   <g id="patch_3">
    <path d="M 193.973622 231.199286 
C 181.215481 222.724979 170.749421 211.224986 163.510968 197.727251 
C 156.272515 184.229517 152.483966 169.148564 152.483966 153.832428 
C 152.483966 138.516291 156.272515 123.435339 163.510968 109.937604 
C 170.749421 96.43987 181.215481 84.939877 193.973622 76.46557 
C 179.982525 67.172301 163.729094 61.846026 146.951372 61.056305 
C 130.173649 60.266584 113.491776 64.042607 98.689612 71.980589 
C 83.887447 79.91857 71.512111 91.725106 62.886947 106.137676 
C 54.261782 120.550245 49.705594 137.03613 49.705594 153.832428 
C 49.705594 170.628726 54.261782 187.11461 62.886947 201.52718 
C 71.512111 215.93975 83.887447 227.746285 98.689612 235.684267 
C 113.491776 243.622249 130.173649 247.398272 146.951372 246.608551 
C 163.729094 245.81883 179.982525 240.492555 193.973622 231.199286 
" clip-path="url(#pba0c42e57e)" style="fill: #ffffff"/>
   </g>
   <g id="patch_4">
    <path d="M 193.973622 76.46557 
C 206.731763 84.939877 217.197822 96.43987 224.436275 109.937604 
C 231.674728 123.435339 235.463277 138.516291 235.463277 153.832428 
C 235.463277 169.148564 231.674728 184.229517 224.436275 197.727251 
C 217.197822 211.224986 206.731763 222.724979 193.973622 231.199286 
C 207.964718 240.492555 224.218149 245.81883 240.995871 246.608551 
C 257.773594 247.398272 274.455467 243.622249 289.257631 235.684267 
C 304.059796 227.746285 316.435132 215.93975 325.060296 201.52718 
C 333.685461 187.11461 338.241649 170.628726 338.241649 153.832428 
C 338.241649 137.03613 333.685461 120.550245 325.060296 106.137676 
C 316.435132 91.725106 304.059796 79.91857 289.257631 71.980589 
C 274.455467 64.042607 257.773594 60.266584 240.995871 61.056305 
C 224.218149 61.846026 207.964718 67.172301 193.973622 76.46557 
" clip-path="url(#pba0c42e57e)" style="fill: #ffffff"/>
   </g>
   <g id="patch_5">
    <path d="M 193.973622 231.199286 
C 206.731763 222.724979 217.197822 211.224986 224.436275 197.727251 
C 231.674728 184.229517 235.463277 169.148564 235.463277 153.832428 
C 235.463277 138.516291 231.674728 123.435339 224.436275 109.937604 
C 217.197822 96.43987 206.731763 84.939877 193.973622 76.46557 
C 181.215481 84.939877 170.749421 96.43987 163.510968 109.937604 
C 156.272515 123.435339 152.483966 138.516291 152.483966 153.832428 
C 152.483966 169.148564 156.272515 184.229517 163.510968 197.727251 
C 170.749421 211.224986 181.215481 222.724979 193.973622 231.199286 
" clip-path="url(#pba0c42e57e)" style="fill: #ffffff"/>
   </g>
   <g id="patch_6">
    <path d="M 193.973622 76.46557 
C 206.731763 84.939877 217.197822 96.43987 224.436275 109.937604 
C 231.674728 123.435339 235.463277 138.516291 235.463277 153.832428 
C 235.463277 169.148564 231.674728 184.229517 224.436275 197.727251 
C 217.197822 211.224986 206.731763 222.724979 193.973622 231.199286 
C 207.964718 240.492555 224.218149 245.81883 240.995871 246.608551 
C 257.773594 247.398272 274.455467 243.622249 289.257631 235.684267 
C 304.059796 227.746285 316.435132 215.93975 325.060296 201.52718 
C 333.685461 187.11461 338.241649 170.628726 338.241649 153.832428 
C 338.241649 137.03613 333.685461 120.550245 325.060296 106.137676 
C 316.435132 91.725106 304.059796 79.91857 289.257631 71.980589 
C 274.455467 64.042607 257.773594 60.266584 240.995871 61.056305 
C 224.218149 61.846026 207.964718 67.172301 193.973622 76.46557 
" clip-path="url(#pba0c42e57e)" style="fill: #ffffff; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_7">
    <path d="M 193.973622 231.199286 
C 206.731763 222.724979 217.197822 211.224986 224.436275 197.727251 
C 231.674728 184.229517 235.463277 169.148564 235.463277 153.832428 
C 235.463277 138.516291 231.674728 123.435339 224.436275 109.937604 
C 217.197822 96.43987 206.731763 84.939877 193.973622 76.46557 
C 181.215481 84.939877 170.749421 96.43987 163.510968 109.937604 
C 156.272515 123.435339 152.483966 138.516291 152.483966 153.832428 
C 152.483966 169.148564 156.272515 184.229517 163.510968 197.727251 
C 170.749421 211.224986 181.215481 222.724979 193.973622 231.199286 
" clip-path="url(#pba0c42e57e)" style="fill: url(#h4ae44db72b); stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_8">
    <path d="M 245.362807 246.711269 
C 269.994564 246.711269 293.620784 236.924968 311.038066 219.507686 
C 328.455348 202.090404 338.241649 178.464184 338.241649 153.832428 
C 338.241649 129.200671 328.455348 105.574451 311.038066 88.157169 
C 293.620784 70.739887 269.994564 60.953587 245.362807 60.953587 
C 220.731051 60.953587 197.104831 70.739887 179.687549 88.157169 
C 162.270267 105.574451 152.483966 129.200671 152.483966 153.832428 
C 152.483966 178.464184 162.270267 202.090404 179.687549 219.507686 
C 197.104831 236.924968 220.731051 246.711269 245.362807 246.711269 
L 245.362807 246.711269 
z
" clip-path="url(#pba0c42e57e)" style="fill: none; stroke: #000000; stroke-width: 2.5; stroke-linejoin: miter"/>
   </g>
   <g id="patch_9">
    <path d="M 193.973622 231.199286 
C 181.215481 222.724979 170.749421 211.224986 163.510968 197.727251 
C 156.272515 184.229517 152.483966 169.148564 152.483966 153.832428 
C 152.483966 138.516291 156.272515 123.435339 163.510968 109.937604 
C 170.749421 96.43987 181.215481 84.939877 193.973622 76.46557 
C 179.982525 67.172301 163.729094 61.846026 146.951372 61.056305 
C 130.173649 60.266584 113.491776 64.042607 98.689612 71.980589 
C 83.887447 79.91857 71.512111 91.725106 62.886947 106.137676 
C 54.261782 120.550245 49.705594 137.03613 49.705594 153.832428 
C 49.705594 170.628726 54.261782 187.11461 62.886947 201.52718 
C 71.512111 215.93975 83.887447 227.746285 98.689612 235.684267 
C 113.491776 243.622249 130.173649 247.398272 146.951372 246.608551 
C 163.729094 245.81883 179.982525 240.492555 193.973622 231.199286 
" clip-path="url(#pba0c42e57e)" style="fill: #ededed; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_10">
    <path d="M 142.584436 246.711269 
C 167.216192 246.711269 190.842412 236.924968 208.259694 219.507686 
C 225.676976 202.090404 235.463277 178.464184 235.463277 153.832428 
C 235.463277 129.200671 225.676976 105.574451 208.259694 88.157169 
C 190.842412 70.739887 167.216192 60.953587 142.584436 60.953587 
C 117.952679 60.953587 94.326459 70.739887 76.909177 88.157169 
C 59.491895 105.574451 49.705594 129.200671 49.705594 153.832428 
C 49.705594 178.464184 59.491895 202.090404 76.909177 219.507686 
C 94.326459 236.924968 117.952679 246.711269 142.584436 246.711269 
L 142.584436 246.711269 
z
" clip-path="url(#pba0c42e57e)" style="fill: none; stroke: #000000; stroke-width: 2.5; stroke-linejoin: miter"/>
   </g>
   <g id="patch_11">
    <path d="M 121.714111 64.570679 
L 164.219705 64.570679 
L 164.219705 60.107592 
L 121.714111 60.107592 
z
" clip-path="url(#pba0c42e57e)" style="fill: #ffffff; stroke: #ffffff; stroke-linejoin: miter"/>
   </g>
   <g id="patch_12">
    <path d="M 225.852817 64.570679 
L 268.358412 64.570679 
L 268.358412 60.32012 
L 225.852817 60.32012 
z
" clip-path="url(#pba0c42e57e)" style="fill: #ffffff; stroke: #ffffff; stroke-linejoin: miter"/>
   </g>
   <g id="patch_13">
    <path d="M 45.204041 22.065085 
L 108.962433 22.065085 
L 108.962433 0.812288 
L 45.204041 0.812288 
z
" clip-path="url(#pba0c42e57e)" style="fill: #ffffff; stroke: #ffffff; stroke-linejoin: miter"/>
   </g>
   <g id="text_1">
    <!-- $A$ -->
    <g transform="translate(128.044251 73.28688) scale(0.35 -0.35)">
     <defs>
      <path id="CMMI12-41" d="M 1088 691 
C 864 314 646 186 339 186 
C 269 180 218 180 218 58 
C 218 24 250 0 294 0 
C 410 0 698 0 813 0 
C 998 0 1203 0 1382 0 
C 1421 0 1498 0 1498 122 
C 1498 180 1446 186 1408 186 
C 1261 186 1139 236 1139 388 
C 1139 476 1178 546 1261 685 
L 1747 1479 
L 3379 1479 
C 3386 1423 3386 1373 3392 1316 
C 3411 1152 3488 495 3488 376 
C 3488 186 3162 186 3059 186 
C 2989 186 2918 186 2918 70 
C 2918 0 2976 0 3014 0 
C 3123 0 3251 0 3360 0 
L 3725 0 
C 4115 0 4397 0 4403 0 
C 4448 0 4518 0 4518 122 
C 4518 186 4461 186 4365 186 
C 4013 186 4006 244 3987 434 
L 3597 4404 
C 3584 4531 3558 4544 3488 4544 
C 3424 4544 3386 4531 3328 4435 
L 1088 691 
z
M 1856 1664 
L 3142 3819 
L 3360 1664 
L 1856 1664 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-41" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $B$ -->
    <g transform="translate(234.136716 73.28688) scale(0.35 -0.35)">
     <defs>
      <path id="CMMI12-42" d="M 2342 3921 
C 2400 4160 2426 4160 2675 4160 
L 3507 4160 
C 4230 4160 4230 3544 4230 3485 
C 4230 2966 3712 2304 2867 2304 
L 1946 2304 
L 2342 3921 
z
M 3424 2275 
C 4122 2402 4755 2886 4755 3473 
C 4755 3970 4314 4352 3590 4352 
L 1536 4352 
C 1414 4352 1357 4352 1357 4226 
C 1357 4160 1414 4160 1510 4160 
C 1901 4160 1901 4112 1901 4044 
C 1901 4032 1901 3993 1875 3897 
L 1011 472 
C 954 249 941 185 493 185 
C 371 185 307 185 307 70 
C 307 0 346 0 474 0 
L 2669 0 
C 3648 0 4403 739 4403 1383 
C 4403 1906 3942 2224 3424 2275 
z
M 2515 185 
L 1651 185 
C 1562 185 1549 185 1510 192 
C 1440 198 1434 211 1434 261 
C 1434 305 1446 343 1459 399 
L 1907 2176 
L 3110 2176 
C 3866 2176 3866 1483 3866 1433 
C 3866 828 3309 185 2515 185 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-42" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_3">
    <g id="patch_14">
     <path d="M 62.734202 42.047103 
L 91.432272 42.047103 
L 91.432272 3.35 
L 62.734202 3.35 
L 62.734202 42.047103 
z
" style="fill: none"/>
    </g>
    <!-- $S$ -->
    <g transform="translate(66.584202 31.414752) scale(0.35 -0.35)">
     <defs>
      <path id="CMMI12-53" d="M 4064 4423 
C 4064 4480 4019 4480 4006 4480 
C 3981 4480 3974 4474 3898 4378 
C 3859 4333 3597 4001 3590 3995 
C 3379 4410 2957 4480 2688 4480 
C 1875 4480 1139 3743 1139 3025 
C 1139 2549 1427 2269 1741 2161 
C 1811 2135 2189 2033 2381 1989 
C 2707 1900 2790 1875 2925 1735 
C 2950 1703 3078 1557 3078 1258 
C 3078 667 2528 57 1888 57 
C 1363 57 781 280 781 991 
C 781 1112 806 1265 826 1328 
C 826 1348 832 1378 832 1391 
C 832 1417 819 1449 768 1449 
C 710 1449 704 1436 678 1328 
L 352 24 
C 352 18 326 -64 326 -71 
C 326 -128 378 -128 390 -128 
C 416 -128 422 -122 499 -26 
L 794 356 
C 947 126 1280 -128 1875 -128 
C 2701 -128 3456 666 3456 1460 
C 3456 1728 3392 1963 3149 2197 
C 3014 2331 2899 2363 2310 2516 
C 1882 2630 1824 2649 1709 2751 
C 1600 2858 1517 3011 1517 3227 
C 1517 3761 2061 4308 2669 4308 
C 3296 4308 3590 3926 3590 3323 
C 3590 3158 3558 2986 3558 2961 
C 3558 2903 3610 2903 3629 2903 
C 3686 2903 3693 2922 3718 3024 
L 4064 4423 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-53" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="pba0c42e57e">
   <rect x="7.2" y="18.447992" width="373.547243" height="270.768871"/>
  </clipPath>
 </defs>
 <defs>
  <pattern id="h4ae44db72b" patternUnits="userSpaceOnUse" x="0" y="0" width="72" height="72">
   <rect x="0" y="0" width="73" height="73" fill="#ededed"/>
   <path d="M -36 36 
L 36 -36 
M -30 42 
L 42 -30 
M -24 48 
L 48 -24 
M -18 54 
L 54 -18 
M -12 60 
L 60 -12 
M -6 66 
L 66 -6 
M 0 72 
L 72 0 
M 6 78 
L 78 6 
M 12 84 
L 84 12 
M 18 90 
L 90 18 
M 24 96 
L 96 24 
M 30 102 
L 102 30 
M 36 108 
L 108 36 
" style="fill: #000000; stroke: #000000; stroke-width: 1.0; stroke-linecap: butt; stroke-linejoin: miter"/>
  </pattern>
 </defs>
</svg>
'

 

Example 1. For two events and

Given, find the value of(Noteand are coprime natural numbers)

 Solution

Answer :

 

Example 2. For two events , we have

Find the value ofin(Note thatand are coprime natural numbers)

 Solution

에서

At

Answer :