Question

A single die is rolled twice. The 36 equally likely outcomes are shown to the right. 

Find the probability of getting two numbers whose sum is 2. 

The probability of getting two numbers whose sum is 2 is (Type an integer or a simplified fraction.)

Answer 1

The probability of getting 2 numbers whose sum is 2 is 1/36

Explanation

There are 2 dice with 6 sides. Each dice have 6 probable outcomes.

When we roll 2 dice together there are 6x6=36 outcomes in total.

Looking at the table, we can know that, in order to have a sum pf 2, only possibility is that both dice should show 1(1+1=2)

There is only 1 outcome out of total 36 probable outcomes which includes a sum of 2.

**Probability of an event = Number of favourable outcomes/ Total number of probable outcomes

Probability of having sum 2= 1/36