# Probability Grumps

**Discrete Mathematics**Level 3

The probability that Danny wins a game is twice the probability that Arin wins a game. If each game is independent (that is, the outcome of one game does not affect another), the probability that Danny wins exactly two games out of five is \[ \frac{a}{b} \] where \( a \) and \( b \) are relatively prime positive integers.

Find \( a+b.\)