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Probability

Question
CBSEENMA12033695

An urn contains  4 red and 7 blue balls. Two balls are drawn at random with replacement. Find the probability of getting one red and one blue ball.

Solution

Number of red balls = 4
Number of blue balls = 7
Total number of balls = 4 + 7 = 11
P(one of them is red and other blue) = P(RB) + P(BR) = P(R) P(B) + P(B) P(R)
                      = 4 over 11 cross times 7 over 11 plus 7 over 11 cross times 4 over 11 space equals 28 over 121 plus 28 over 121 space equals space 56 over 121
   
                                                      

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