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A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability of two successes.

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A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability of two successes.

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Let X = number of doublets. 

p = probability of getting a doublet when a pair of dice is thrown

The p.m.f. of X is given by

Hence, the probability of two successes is 25/216.

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