# Marbles Without Replacement

**Discrete Mathematics**Level 3

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.