# Dicey Probability

Satvik and Agnishom are playing a game with $$2$$ standard dice. Both the dice are rolled together and the total is counted.

Satvik says that a total of $$2$$ will be rolled first.

Agnishom, whereas, says that two Consecutive totals of $$7's$$ will be rolled first.

They keep rolling the dice till one of them wins!

The probability that Satvik wins the game can be expressed as $$\dfrac{a}{b}$$ where $$a$$ and $$b$$ are co-prime positive integers.

Find the value of $$a+b$$.

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