Let A and B be events with P(A)=0.5 and
=0.4. For what value of P(B) will A and B be independent?
What will be an ideal response?
A and B are independent if P(A ? B) = P(A)P(B). Now P(A) = P(A ? B) + . Since P(A) = 0.5 and
= 0.4, P(A ? B) = 0.1. Therefore 0.1 = 0.5P(B), so P(B) = 0.2.
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