A dice is rolled twice. What is the probability that the number in the second roll will be higher than that in the first? ?->(Show Answer!)

1. A dice is rolled twice. What is the probability that the number in the second roll will be higher than that in the first?

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By: anil on 05 May 2019 02.35 am

A die is rolled twice.
The number of combinations that can occur = 6*6 = 36.
We have to find the probability of the second roll being higher than the first.
If we select 2 numbers out of the 6 and arrange them in ascending order, then we will obtain the scenario in which the number obtained in the second roll will be greater than the number obtained in the first roll.

2 numbers out of 6 numbers can be selected in 6C2 = 15 ways. The numbers can be arranged in ascending order in only one way.
Therefore, the required probability is 15/36.

Therefore, option C is the right answer.

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