Question

suppose a and b are independent events such that p(a) = 0.5, and p(b) = 0.85. find the following:p(b|a) =

Answer 1

To find P(B|A), divide the probability of both events A and B occurring by the probability of event A. In this case, P(B|A) is 0.85.

Step-by-step explanation:

The probability of event B given event A, denoted as P(B|A), represents the probability that event B occurs given that event A has already occurred. To find P(B|A), you can use the formula P(B|A) = P(A and B) / P(A), where P(A and B) is the probability that both events A and B occur, and P(A) is the probability of event A.

In this case, the probability of event A is 0.5 and the probability of event B is 0.85. Since events A and B are independent, the probability of both events occurring is the product of their individual probabilities: P(A and B) = P(A) * P(B) = 0.5 * 0.85 = 0.425.

Finally, to find P(B|A), plug in the values: P(B|A) = P(A and B) / P(A) = 0.425 / 0.5 = 0.85. Therefore, P(B|A) is 0.85.