Find the probability of getting a doublet in a throw of a pair of dice.

There are six ways to roll 2 dice such that both dice have the same value
These are the outcomes (1,1),(2,2),(3,3),(4,4,)(5,5) and (6,6).

To find the total number of outcomes, note that there are 6 choices for the first die (values 1–6) and there are 6 choices for the second die (again values 1–6) and so by the Multiplication Principle (MP) there are 36 total outcomes from rolling two dice once.

Now we have the following:

P(getting a doublet) =
Total number of outcomes
Number of ways to get double

=
36
6

=
6
1


Thus, the probability of getting a doublet is
6
1

.