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' = complementP(A') =.65P(A and B') =.25P(B)=?

Yasmin

by Yasmin at January 05, 2011

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Yasmin -(1) If P(A' )= 0.65, then P(A) = 1 - 0.65 = 0.35(2) If P(A and B') = 0.25, then P(A) - P(A and B) = 0.25 [Hint: draw a Venn Diagram with A intersecting B and convince yourself of this last statement](3) From Step (2): P(A) - P(A and B) = 0.25, therefore rearranging we get  P(A and B) = P(A) - 0.25 = 0.35 - 0.25  = 0.10Finally, P(B) = P(A') +  P(A and B) = 0.65 + 0.10 = 0.75Drawing this all out using Venn Diagrams will really help you understand the problem better, so sketch the problem out and convince yourself.Hope this helped

Steve204 Steve204 January 05, 2011

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