Question

Suppose you roll two dice. What is the probability of rolling a sum of 8?

Answer 1

`5/36`

Explanation:

[Assuming we're dealing with `6`-sided dice]

We know we're dealing with two dice. Since each die has `6` different possibilities, the outcomes of rolling two dice are given by

`6xx6`, which is `36`. This will be our denominator.

How many ways can we get `8` with two dice?

`2+6=8`

`3+5=8`

`4+4=8`

`5+3=8`

`6+2=8`

These are all ways to get `8` with two dice. There's `5` ways, so this will be our numerator. We have

`P`(sum of `8` with two dice)=`5/36`

Hope this helps!

Answer 2

`5/36`

Explanation:

So if you have 2 dice (supposing that they are 6 sided, we know that all the possible combinations of the dice are `36` So now we have to make a process of elimination:

`2+6` / `6+2` / `3+5` / `5+3` / `4+4` ( '/' seperates numbers)

We have repeated some because (let's say a dice is `a` and the other is `b`) `a` could be `3` but `b` could also be `3`.

So if we know that there are five know combinations for rolling sum of `8` then we write it as a fraction so `5/36`

We write it over the possible outcomes because of a simple rule:

the desired outcome / all possible outcomes

Hope this helped you out!

Answer 3

`5/36`

Explanation:

Lets produce a table:

The total count of available combined values is `6xx6=36`

Inspection of the table shows that there are 5 lots of 8 so we have:

`("red")/("green and red") ->5/36`