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A coin is loaded in such a way that a tail is thrice as likely to appear as

A coin is loaded in such a way that a tail is thrice as likely to appear as a head. If the coin is tossed five times, find the probability that : i. Exactly two tails appear ii. At leat two tails appear iii. At most three tails appear iv. Obtain the mean and variance of the appearance of a tail in a single toss

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