Urn a contains 2 white balls and 1 black ball,whereas urn b contains 1 white ball and 5 black balls. a ball is drawn at random from urn a and placed in urn
b. a ball is then drawn from urn
b. it happens to be white. what is the probability that the ball transferred was white?
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probability that the ball transferred was white = 4/5
Step-by-step explanation:
Urn a Contains 2 White 1 Black
Urn b Contains 1 White 5 black
if White Ball is transferred then (2/3)
Urn b has 2 White & 5 Black
Probability of Drawing white Ball = 2/7
Probability = (2/3)(2/7) = 4/21
if Black Ball is transferred then (1/3)
Urn b has 1 White & 6 Black
Probability of Drawing white Ball = 1/7
Probability = (1/3)(1/7) = 1/21
probability that the ball transferred was white = 4/21/(4/21 + 1/21)
= 4/5
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