PLEASE GIVE AN EXPLAINATION What is the probability of rolling either two identical numbers or rolling a sum of 8 using two number cubes, each labeled 1 – 6?

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Step-by-step explanation:

We have 2 things to consider here, rolling two identical numbers, or rolling a sum of 8

Rolling two identical numbers

To make this simple, think about how many possibilities there are to have two identical numbers. (1,1) (2,2) (3,3) (4,4) (5,5) (6,6). The total amount of possibilities for rolling two dice is 6*6 which is 36. That would be 6/36 which is 1/6

Rolling a sum of 8

The numbers which add up to 8 are, (2,6)(3,5)(4,4)(5,3)(6,2). With 36 total possibilities, it would be 5/36.

However, we can see, (4,4) is repeated, so we have to subtract 1/36.

Answer

1/6 + 5/36 - 1/36

6/36 + 5/36 - 1/36

10/36

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Step-by-step explanation:

the first dot plot best represents the data

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