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Q.

Bag 1 contains 4 white balls and 5 black balls, and Bag 2 contains n white balls and 3 black balls. One ball is drawn randomly from Bag 1 and transferred to Bag 2. A ball is then drawn randomly from Bag 2. If the probability, that the ball drawn is white, is 29/45, then n is equal to:

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a

3

b

4

c

5

d

6

answer is D.

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Detailed Solution

Bag 1 = {4W, 5B}
Bag 2 = {nW, 3B}
PWBag2=2945PWB1×PWB2+PBB1×PWB2=294549×n+1n+4+59×nn+4=2945
n = 6

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Bag 1 contains 4 white balls and 5 black balls, and Bag 2 contains n white balls and 3 black balls. One ball is drawn randomly from Bag 1 and transferred to Bag 2. A ball is then drawn randomly from Bag 2. If the probability, that the ball drawn is white, is 29/45, then n is equal to: