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Tibu and Babu are playing a game in which both the players roll a pair of dice. Tibu wins if the sum of the numbers appearing on the dice is a prime number while Babu wins if the product of the numbers appearing on the dice is prime. The chance that no one wins is (both players are allowed to win simultaneously)

A

`(19)/(36)`

B

`(1)/(2)`

C

`(17)/(36)`

D

`(4)/(9)`

Text Solution

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The correct Answer is:
C
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