Suppose that
P(A) = 0.69
P(B) = 0.57
P(AB) = 0.35.
Find the conditional probability that B occurs given that A occurs.
Round your answer to 3 decimal places.
To find the conditional probability of event B occurring given that event A has occurred, you can use the formula:
P(B|A) = P(AB) / P(A)
In this case, you are given that P(A) = 0.69, and P(AB) = 0.35.
To calculate P(B|A), you need to divide the probability of both A and B occurring (P(AB)) by the probability of A occurring (P(A)):
P(B|A) = 0.35 / 0.69
Dividing these values gives:
P(B|A) = 0.507246
Rounding to 3 decimal places, the conditional probability that B occurs given that A occurs is approximately 0.507.