Two player play a game with two nonstandard dice A and B. A has 4 sides which show 5 and the rest show 2 while B has 3 sides which show 7 and the rest show 0. When rolled, each face is equally likely to show. If player 1 rolls A and player 2 rolls B, what is the probability that player 1 rolls a higher number than player 2? Solution Prob of Player A rolling 3 = 1/2 and then Player B rolling 2 = 1/2 So, net prob = 1/2*1/2 = 1/4 Prob of Player A rolling 6 = 1/2 and then Player B rolling 2 = 1/2 So, net prob = 1/2*1/2 = 1/4 So, answer = 1/4 + 1/4 = 1/2.