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Question

A coin is biased so that the head is 3 times as likely to occur as tail. This coin is tossed until a head or three tails occur. If $\mathrm{X}$ denotes the number of tosses of the coin, then the mean of $\mathrm{X}$ is :

$\frac{81}{64}$
$\frac{37}{16}$
$\frac{21}{16}$
$\frac{15}{16}$

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