A pair of fair dice is rolled. What is the probability that the second dice lands on a higher value than does the first?

Step-by-step solution

Possibilities of having higher number on second dice First dice Second dice 12,3,4,5,6 5 possibilities 23,4,5,6 4 possibilities 3 4,5,6 3 possibilities 4 5,6 2 possibilities 5 6 1 possibility Total number of possibilities =15 Total number of events =36 Probability = 15 36 = 5 12