MathDB

Omar has four fair standard six-sided dice. Omar invented a game where he rolls his four dice over and over again until the number 1 does not appear on the top face of any of the dice. Omar wins the game if on that roll the top faces of his dice show at least one 2 and at least one 5. The probability that Omar wins the game is

\frac{m}{n}

, where

m

and

n

are relatively prime positive integers. Find

m + n

Problem Statement