Question

A single number cube is rolled twice. The 36 equally-likely outcomes are shown to the right. What is the first step in finding the probability of getting two numbers whose sum is 8? Find the probability of getting two numbers whose sum is 8.

Answer 1

Step-by-step explanation

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.

We are given the possible outcomes to be

The total number of outcomes is 36

Our task is to get all the possible outcomes (a sum of 8) which are listed as follows

`\lbrace(2,6),(6,2),(3,5),(5,3),(4,4)\rbrace`

In this case, the number of possible outcomes = 5

So, we can compute the probability as follow

`P=\frac{number\text{ of possible outcome}}{total\text{ outcomes}}=(5)/(36)`

Therefore, the answer is

`(5)/(36)`