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A and B throw alternately a pair of dice...

A and B throw alternately a pair of dice. A wins if he throws 6 before B throws 7 and B wins if the throws 7 before A throws 6. Find their respective chance of winning, if A begins.

A

`13/16,31/16`

B

`30/61,31/61`

C

`31/61,41/61`

D

`38/61,23/61`

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The correct Answer is:
B
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