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

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A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability distribution of a number of successes and hence find its mean.

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Throwing doublet: {(1, 1),(2, 2),(3, 3),(4, 4),(5, 5),(6, 6)}

Total outcomes = 6 × 6 = 36

Let p = probability of success

The required binomial distribution is given by,

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