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Amit and sumit throw with one die for a ...

Amit and sumit throw with one die for a prize of Rs. 121, which will be won by a player who throws 5 first. If Amit starts, then find the mathematical expectation for sumit.

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Probability that sumit will win in `2^(th), 4^(th), 6^(th), 8^(th)` throw
`=P=5/6xx1/6+5/6xx5/6xx5/6xx1/6+5/6xx(5/6)(5/6)(5/6)(5/6)1/6+....."to" oo`
`(5/36)/(1-25/36)=5/11`
`implies` Mathematical expectation for sumit
`=5/11xx121=Rs.55`
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