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Question

Question: Bag A contains 3W and 4B balls. Bag B contains 2W & 3B balls. A ball is transferred from A to B. If ...

Bag A contains 3W and 4B balls. Bag B contains 2W & 3B balls. A ball is transferred from A to B. If the ball drawn from B happen to be white the probability that the transferred ball was black

A

8/17

B

7/17

C

3/17

D

10/17

Answer

8/17

Explanation

Solution

From the above problem P(B/E)

= 4/7×1/34/7×1/3+3/7.1/2=817\frac { 4 / 7 \times 1 / 3 } { 4 / 7 \times 1 / 3 + 3 / 7.1 / 2 } = \frac { 8 } { 17 }