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Question

A box A contains 3 red balls and 4 blue balls, box B contains 4 red balls and 3 blue balls. A ball is randomly taken from box A and kept in box B. If a ball is drawn from box B, what is the probability that the ball drawn is a red ball?







Solution

The correct option is B



The following situations will come:

(i) Red ball is drawn from box A and then kept in box B, then  red ball is picked from the  box B

Probability of drawing a red ball from box A = 37

Then probability of drawing a red ball from box B after putting the red ball drawn from box A = 58

(ii) Blue ball is drawn from box A and then kept in box B, then red ball is drawn from box B

Probability of drawing a blue ball from box A = 47

Then probability of drawing a red ball from box B after putting the blue ball drawn from box A =48

Total probability =(37)(58)+(47)(48)

=(3156)

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