Question

According to​ Bayes' Theorem, the probability of event​ A, given that event B has​ occurred, is as follows.

Answer 1

Answer:

0.0625

Step-by-step explanation:

Data

• P(A) = 1/4

• P(A') = 3/4

• P(B|A)= 1/10

• P(B|A') = 1/2

The probability of event​ A, given that event B has​ occurred is computed with the following equation:

P(A|B) = [P(A)*P(B|A)]/[P(A)*P(B|A)+P(A')*P(B|A')]

Replacing with data:

P(A|B) = [1/4*1/10]/[1/4*1/10+3/4*1/2] = 0.0625