Prinstan Trollner and Dukejukem are competing at the game show WASS. Both players spin a wheel which chooses an integer from 1 to 50 uniformly at random, and this number becomes their score. Dukejukem then flips a weighted coin that lands heads with probability 3 / 5. If he flips heads, he adds 1 to his score. A player wins the game if their score is higher than the other player’s score. The probability Dukejukem defeats the Trollner to win WASS equals m / n where m, n are coprime positive integers. Compute m+n.