Question

If P(A) = 0.50, P(B) = 0.40, then, and P(A ∪ B) = 0.88, then P(B | A) =

Answer 1

To find P(B | A), we can use the formula for conditional probability. Given the values of P(A), P(B), and P(A ∪ B), we can substitute them into the formula to calculate P(B | A).

Step-by-step explanation:

To find P(B | A), we can use the formula for conditional probability:

P(B | A) = P(A ∩ B) / P(A)

Given that P(A) = 0.50, P(B) = 0.40, and P(A ∪ B) = 0.88, we can calculate P(A ∩ B) as follows:

P(A ∩ B) = P(A) + P(B) - P(A ∪ B)

P(A ∩ B) = 0.50 + 0.40 - 0.88

P(A ∩ B) = 0.02

Now we can substitute the values into the formula for P(B | A):

P(B | A) = P(A ∩ B) / P(A)

P(B | A) = 0.02 / 0.50

P(B | A) = 0.04