Question

Given P(A) = 0.74, P(B) = 0.5 and P(A n B) 0.43, find the value of P(A| B), rounding to the nearest thousandth, if necessary. ​

Answer 1

0.86

Explanation:

P(A) = 0.74

P(B) = 0.5

P(A ∩ B) = P(A and B) = 0.43

P(A | B) = P(A given B)

Conditional probability:

P(A | B) = P(A ∩ B) / P(B)

P(A | B) = 0.43 / 0.5

P(A | B) = 0.86