Question
Download Solution PDFUrn A contains 2 white and 2 black balls while urn B contains 3 white and 2 black balls. One ball is transferred from urn A to urn B and then a ball is drawn out of urn B. What is the probability that the ball is white?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given:
Urn A contains 2 white and 2 black balls while urn B contains 3 white and 2 black balls.
⇒ E1 = One white ball transferred from A to B; then urn A contains white = 1 and b = 2 and urn B contains white = 4 and black = 2
⇒ E2 = One black ball transferred from A to B. Then urn A contains white = 2 and black = 1 and urn B contains white = 3 and black = 3
⇒ F = One white ball is drawn from urn B
⇒
=
∴ Option (b) is correct.
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