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+1 vote
14.1k views
in Statistics and probability by (52.5k points)

A box A contains 2 white, 3 red and 2 black balls. Another box B contains 4 white, 2 red and 3 black balls. If two balls are drawn at random, without replacement, from a randomly selected box and one ball turns out to be white while the other ball turns out to be red, then the probability that both balls are drawn from box B is 

(A) 9/16 

(B) 7/16 

(C) 9/32 

(D) 7/8

1 Answer

+2 votes
by (54.8k points)
selected by
 
Best answer

Answer is (B) 7/16

Given:

Probability of taking A and B box is

P(A) = P(B) = 1/2

Probability of drawing one red and one white ball is given by

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