# Coins in Caskets

Discrete Mathematics Level pending

Suppose there are three caskets. Casket 1 contains $$2$$ gold coins, Casket 2 contains $$1$$ gold and $$1$$ silver coin, and Casket 3 contains $$2$$ silver coins. Suppose you choose one casket at random and draw a coin. If the coin is gold, the probability that the second coin in the casket is gold can be written as $$\frac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers. What is the value of $$a+b$$?

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