Use the following probabilities to answer the question It ma

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

P(A)=0.41, P(B)=0.39 and P(AandB)=0.20.

(1) P(BnotA)=

Solution

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

As

P(B n A\') = P(B) - P(A n B) = 0.39 - 0.20 = 0.19

P(A\') = 1 - P(A) = 1 - 0.41 = 0.59

Then

P(B|A\') = P(B n A\')/P(A\') = 0.19/0.59

= 0.322033898 [ANSWER]