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Probability

Question
CBSEENMA12033689

Two balls are drawn at random with replacement from a box containing 10 black and 8 red balls. Find the probability that one of them is black and other is red. 

Solution

Number of black balls = 10
Number of red balls = 8
Total number of balls = 10 + 8 = 18
P(one of them is black and other red) = P(BR) + P(RB) = P(B) P(R) + P(R) P(B)
                                                             equals space 10 over 18 cross times 8 over 18 plus 8 over 18 cross times 10 over 18 space equals 20 over 81 plus 20 over 81 space equals 40 over 81
                         

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