{"id":3677,"date":"2023-07-16T04:45:58","date_gmt":"2023-07-16T04:45:58","guid":{"rendered":"https:\/\/statorials.org\/my\/python-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-bayes-%e1%80%9e%e1%80%ae%e1%80%a1%e1%80%ad%e1%80%af%e1%80%9b%e1%80%ae\/"},"modified":"2023-07-16T04:45:58","modified_gmt":"2023-07-16T04:45:58","slug":"python-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-bayes-%e1%80%9e%e1%80%ae%e1%80%a1%e1%80%ad%e1%80%af%e1%80%9b%e1%80%ae","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/python-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-bayes-%e1%80%9e%e1%80%ae%e1%80%a1%e1%80%ad%e1%80%af%e1%80%9b%e1%80%ae\/","title":{"rendered":"Python \u1010\u103d\u1004\u103a bayes theorem \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u100a\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Bayes \u104f\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u101e\u100a\u103a<\/strong> <em>A<\/em> \u1014\u103e\u1004\u1037\u103a <em>B<\/em> \u1016\u103c\u1005\u103a\u101b\u1015\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a <em>\u104b<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">P(A|B) = P(A)*P(B|A) \/ P(B)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(A|B)- \u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a A\u104a \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u1016\u103c\u1005\u103a\u101b\u1015\u103a B \u101e\u100a\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(B|A)- \u1011\u102d\u102f\u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a B \u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\u101c\u102c\u101e\u100a\u1037\u103a \u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u100a\u103a \u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\u101c\u102c\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(A)- \u1016\u103c\u1005\u103a\u101b\u1015\u103a A \u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(B)- \u1016\u103c\u1005\u103a\u101b\u1015\u103a B \u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u101b\u102c\u101e\u102e\u1025\u1010\u102f \u1010\u102d\u1019\u103a\u1011\u1030\u1001\u103c\u1004\u103a\u1038 \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 40% \u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101b\u1000\u103a\u1010\u103d\u1004\u103a \u1019\u102d\u102f\u1038\u101b\u103d\u102c\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u100a\u103a 20% \u101f\u102f\u101c\u100a\u103a\u1038 \u101a\u1030\u1006\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1019\u102d\u102f\u1038\u101b\u103d\u102c\u1010\u1032\u1037\u1014\u1031\u1037\u1019\u103e\u102c \u1010\u102d\u1019\u103a\u1010\u103d\u1031\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 85% \u101b\u103e\u102d\u1010\u101a\u103a\u101c\u102d\u102f\u1037\u101c\u100a\u103a\u1038 \u101a\u1030\u1006\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u1010\u1032\u1037\u1014\u1031\u1037\u1019\u103e\u102c \u1021\u1015\u103c\u1004\u103a\u1019\u103e\u102c \u1010\u102d\u1019\u103a\u1011\u1030\u1014\u1031\u1010\u101a\u103a\u1006\u102d\u102f\u101b\u1004\u103a \u1021\u1032\u1012\u102e\u1014\u1031\u1037\u1019\u103e\u102c \u1019\u102d\u102f\u1038\u101b\u103d\u102c\u1016\u102d\u102f\u1037 \u1021\u101c\u102c\u1038\u1021\u101c\u102c \u1018\u101a\u103a\u101c\u1031\u102c\u1000\u103a\u101b\u103e\u102d\u101c\u1032\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1001\u103b\u1000\u103a<\/strong> &#8211;<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(\u1010\u102d\u1019\u103a\u1011\u1030) = 0.40<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(\u1019\u102d\u102f\u1038) = \u1040.\u1042\u1040<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(\u1010\u102d\u1019\u103a\u1011\u1030 | \u1019\u102d\u102f\u1038) = 0.85<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(\u1019\u102d\u102f\u1038 | \u1010\u102d\u1019\u103a\u1011\u1030) = P(\u1019\u102d\u102f\u1038) * P(\u1010\u102d\u1019\u103a | \u1019\u102d\u102f\u1038) \/ P(\u1010\u102d\u1019\u103a\u1011\u1030)<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(\u1019\u102d\u102f\u1038 | \u1010\u102d\u1019\u103a\u1011\u1030) = 0.20 * 0.85 \/ 0.40<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(\u1019\u102d\u102f\u1038 | \u1010\u102d\u1019\u103a\u1011\u1030) = 0.425<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101b\u1000\u103a\u1010\u103d\u1004\u103a \u1021\u1015\u103c\u1004\u103a\u1018\u1000\u103a\u1010\u103d\u1004\u103a \u1010\u102d\u1019\u103a\u1011\u1030\u1014\u1031\u1015\u102b\u1000 \u1011\u102d\u102f\u1014\u1031\u1037\u1010\u103d\u1004\u103a \u1019\u102d\u102f\u1038\u101b\u103d\u102c\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 <strong>42.5%<\/strong> \u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">Python \u1010\u103d\u1004\u103a Bayes &#8216;\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1001\u103b\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1016\u1014\u103a\u1010\u102e\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">def<\/span> <span style=\"color: #3366ff;\">bayesTheorem<\/span> (pA, pB, pBA):\n    <span style=\"color: #008000;\">return<\/span> pA * pBA \/ pB\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1025\u1015\u1019\u102c\u101e\u100a\u103a \u1024\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c- Python \u101b\u103e\u102d Bayes \u101e\u102e\u1021\u102d\u102f\u101b\u102e<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101e\u102d\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(\u1019\u102d\u102f\u1038) = \u1040.\u1042\u1040<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(\u1010\u102d\u1019\u103a\u1011\u1030) = 0.40<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(\u1010\u102d\u1019\u103a\u1011\u1030 | \u1019\u102d\u102f\u1038) = 0.85<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">P(\u1019\u102d\u102f\u1038 | \u1010\u102d\u1019\u103a\u1011\u1030) \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b syntax \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\"><span style=\"color: #008080;\">#define function for Bayes' theorem<\/span>\ndef<\/span> <span style=\"color: #3366ff;\">bayesTheorem<\/span> (pA, pB, pBA):\n    <span style=\"color: #008000;\">return<\/span> pA * pBA \/ pB\n\n<span style=\"color: #008080;\">#define probabilities\n<\/span>pRain = 0.2\npCloudy = 0.4\npCloudyRain = 0.85\n\n<span style=\"color: #008080;\">#use function to calculate conditional probability\n<\/span>bayesTheorem(pRain, pCloudy, pCloudyRain)\n\n0.425\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u104e\u1004\u103a\u1038\u101e\u100a\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101b\u1000\u103a\u1010\u103d\u1004\u103a \u1021\u1015\u103c\u1004\u103a\u1018\u1000\u103a\u1010\u103d\u1004\u103a \u1010\u102d\u1019\u103a\u1011\u1030\u1015\u102b\u1000 \u1011\u102d\u102f\u1014\u1031\u1037\u1010\u103d\u1004\u103a \u1019\u102d\u102f\u1038\u101b\u103d\u102c\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103e\u102c <strong>0.425<\/strong> \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a <strong>42.5%<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u101f\u102f \u1006\u102d\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1005\u1031\u102c\u1015\u102d\u102f\u1004\u103a\u1038\u1010\u103d\u1004\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b \u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a Python \u1010\u103d\u1004\u103a \u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1021\u101e\u102f\u1036\u1038\u1019\u103b\u102c\u1038\u101e\u1031\u102c \u1021\u101c\u102f\u1015\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/my\/python-\u1010\u103d\u1004\u103a-\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1021\u101b-\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\/\" target=\"_blank\" rel=\"noopener\">Python \u1010\u103d\u1004\u103a Conditional Probability \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/python-\u1010\u103d\u1004\u103a-\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\/\" target=\"_blank\" rel=\"noopener\">Python \u1010\u103d\u1004\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/python-\u1010\u103d\u1004\u103a-\u1021\u101c\u101a\u103a\u1021\u101c\u1010\u103a\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">Python \u1010\u103d\u1004\u103a \u1016\u103c\u1010\u103a\u1010\u1031\u102c\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bayes \u104f\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u101e\u100a\u103a A \u1014\u103e\u1004\u1037\u103a B \u1016\u103c\u1005\u103a\u101b\u1015\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a \u104b P(A|B) = P(A)*P(B|A) \/ P(B) \u101b\u103d\u103e\u1031- P(A|B)- \u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a A\u104a \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u1016\u103c\u1005\u103a\u101b\u1015\u103a B \u101e\u100a\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101b\u103e\u102d\u101e\u100a\u103a\u104b P(B|A)- \u1011\u102d\u102f\u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a B \u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\u101c\u102c\u101e\u100a\u1037\u103a \u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u100a\u103a \u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\u101c\u102c\u101e\u100a\u103a\u104b P(A)- \u1016\u103c\u1005\u103a\u101b\u1015\u103a A \u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 P(B)- \u1016\u103c\u1005\u103a\u101b\u1015\u103a B \u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u101b\u102c\u101e\u102e\u1025\u1010\u102f \u1010\u102d\u1019\u103a\u1011\u1030\u1001\u103c\u1004\u103a\u1038 \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 40% \u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101b\u1000\u103a\u1010\u103d\u1004\u103a \u1019\u102d\u102f\u1038\u101b\u103d\u102c\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u100a\u103a 20% \u101f\u102f\u101c\u100a\u103a\u1038 \u101a\u1030\u1006\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u1019\u102d\u102f\u1038\u101b\u103d\u102c\u1010\u1032\u1037\u1014\u1031\u1037\u1019\u103e\u102c \u1010\u102d\u1019\u103a\u1010\u103d\u1031\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 85% \u101b\u103e\u102d\u1010\u101a\u103a\u101c\u102d\u102f\u1037\u101c\u100a\u103a\u1038 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