Question

Use the following probabilities to answer the question. It may be helpful to sketch a Venn diagram.

P(A) = 0.44, P(B) = 0.36 and P(A and B) = 0.20 .

P(B ∣ not A)=

Answer 1

0.2857

Explanation:

P(B | not A)

Recall :

P(A | B) = P(A n B) / P(B)

Hence ;

P(B | not A) = P(B and not A) / P(not A)

P(not A) = 1 - P(A) = 1 - 0.44 = 0.56

P(B and not A) = P(B) - P(A and B) = 0.36 - 0.20 = 0.16

Hence,

P(B | not A) =P(B and not A) / P(not A) = 0.16 / 0.56

= 0.2857