Q12 of 29 Page 1

An urn contains 5 red and 2 black balls. Two balls are drawn randomly one-one with replacement from the urn. Find the probability distribution of number of black balls.

Given that an urn contains 5 red and 2 black balls.


The number of ways in which two balls can be represented are {(RR), (RB), (BR), (BB)}


Let X represent the number of black balls.


Possible values of X are: X(RR) = 0, X(RB) = 1, X(BR) = 1, X(BB) = 2


Therefore, possible values of X are 0, 1, 2.






Therefore, X is a random variable with probability distribution:



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