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A coin is biased so that the head is 4 times as as likely to occur as tail.

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A coin is biased so that the head is 4 times as  as likely to occur as tail. If the coin is tossed  thrice, find the probability distribution of  number of tails. Hence find the mean and  variance of the distribution.

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P(Head)  = 4P(Tail), P(H) = 4/5, P(T) = 1/5

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