# Two standard dice are rolled, what is the probability of rolling a pair (both the same number)?

##### 2 Answers

The probability of rolling the pair

#P(E)=1/6~~0.17#

#### Explanation:

We note that, if a die is rolled the sample space:

#S={1,2,3,4,5,6}#

We know that ,if two dice rolled the sample space :

#S={1,2,3,4,5,6}xx{1,2,3,4,5,6}#

i.e. When two dice are tossed together ,

the possible pairs are :

Let ,event

So , the probability of rolling the pair

#### Explanation:

Since we are rolling two six-sided dice, there are

How many ways can we get double numbers?

We have

Thus, the probability of rolling pairs is

Hope this helps!