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A bag contains 3 red and 2 black ball

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A bag contains 3 red and 2 black ball. Another bag contains 4 red and 5 black balls. A ball is drawn from the first bag and is placed in the second. A ball is then drawn from the second. What is the probability that this draw of red ball is due to the drawing of red ball from the first bag ?

A. 3/5
B. 2/5
C. 4/25
D. 3/10
E. 15/23

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