d Apply Bayes theorem to compute P A B and P A B Bayes

Last updated: 2/14/2024

d Apply Bayes theorem to compute P A B and P A B Bayes theorem is used when events are mutually exclusive and their union is the entire sample space Here we have P A P A2 0 60 0 40 1 so Bayes theorem can be applied Recall Bayes theorem for the two event case P A B P A1 P B A P A1 P B A P A P B A Note that the numerator and the first term in the denominator is another way to calculate the intersection of events A and B That is P A P B A P A n B Extending this to the second term in the denominator it can be said that P A2 P B A P A 78 Thus a sim calculation for P A1 B follows P A n B P A n 8 P A 23B P A1 B