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1/6  is the Dice roll probability that the sum is divisible by 6

What is Dice roll Probability ?

An event is a specific subset of the sample space in probability. The sample space, for instance, is equal to all of the values on the die, or the set, when just one die is rolled, as in the example above (1, 2, 3, 4, 5, 6). Each number in the set only appears once since the die is impartial. The frequency of each number is thus 1. We divide the event frequency (1) by the size of the sample space (6) to get the chance of rolling any one of the die's numbers, which comes out to 1/6.

The difficulty of computing probability more than doubles when two fair dice are rolled. This is so that rolling one die does not affect rolling another. A roll does not affect another roll. We apply the multiplication rule when dealing with independent occurrences. A tree diagram is used to show that there are 6 × 6 = 36 possibilities that can result from rolling two dice.

We know that whatever be the first four numbers , the fifth number will decide whether the sum is divisible by 6 or not

That is let , S= N+N5

Before adding N5 , we cannot say whether S is divisible by 6

N5 is chosen from 6 equally likely numbers ,1,2,3,4,5,6

P(N5) =1/6

Therefore  Dice roll probability that sum is divisible by 6 is 1/6

Learn more about Dice roll probability from the link below

https://brainly.com/question/20312769

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