Calculate P (A and B) in the following scenarios: c. P(A)= 0.71, P (B) =0.65, P (B/A)=0.77
To calculate P(A and B) when P(B/A) is given, we can use the conditional probability formula:
P(A and B) = P(A) * P(B/A)
Given that P(A) = 0.71, P(B) = 0.65, and P(B/A) = 0.77, we can substitute these values into the formula:
P(A and B) = 0.71 * 0.77
P(A and B) ≈ 0.5477
Therefore, P(A and B) is approximately 0.5477.