SOLUTION: An urn contains 5 yellow balls and 4 green balls. 2 balls are drawn randomly at the same time. Let A= Event both balls are the same color. Let B= Event both balls are yellow. Calcu
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-> SOLUTION: An urn contains 5 yellow balls and 4 green balls. 2 balls are drawn randomly at the same time. Let A= Event both balls are the same color. Let B= Event both balls are yellow. Calcu
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Question 1025215: An urn contains 5 yellow balls and 4 green balls. 2 balls are drawn randomly at the same time. Let A= Event both balls are the same color. Let B= Event both balls are yellow. Calculate the Pr(B|A) and Pr(A|B). Simplify as much as possible. Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! Note that the event B is a proper subset of the event A, or B⊂A. This means
P(A∩B) = P(B).
Now P(B) = . Also,
P(A) =
==> P(B|A) = P(A∩B)/P(A) = P(B)/P(A) = .
Also,
P(A|B) = P(A∩B)/P(B) = P(B)/P(B) = .
