If two different dice are rolled together then, calculate the probability of two different digits

Possible outcomes on rolling the two dice are given below:{[1, 1], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6],[2, 1], [2, 2], [2, 3], [2, 4], [2, 5], [2, 6], [3, 1], [3, 2], [3, 3], [3, 4], [3, 5], [3, 6],[4, 1], [4, 2], [4, 3], [4, 4], [4, 5], [4, 6],[5, 1], [5, 2], [5, 3], [5, 4], [5, 5], [5, 6],[6, 1], [6, 2], [6, 3], [6, 4], [6, 5], [6, 6]}Total number of outcomes = 36Favourable outcomes are given below:{[2, 2], [2, 4], [2, 6], [4, 2], [4, 4], [4, 6], [6, 2], [6, 4], [6, 6]}Total number of favourable outcomes = 9

∴ Probability of getting an even number on both dice `="Total numbers of favourable outcomes"/"Total number of outcomes"=9/36=1/4`

Hence, the correct option is D.

Chủ Đề