# Marbles Without Replacement

A bag contains $$10$$ red marbles, $$10$$ green marbles, $$10$$ yellow marbles and $$10$$ blue marbles. You reach into the bag and grab a marble, then reach into the bag and grab a second marble. The probability that the second marble is the same color as the first marble is $$\frac{a}{b}$$, where $$a$$ and $$b$$ are positive, coprime integers. What is the value of $$a+b$$?

Note: You do not place the first marble back into the bag.

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