Question

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

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Answer 1

P(getting a doublet) =Total number of outcomes Number of ways to get double  = 6/36 = 1/6

Thus, the probability of getting a doublet is 1/6

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Answer 2

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

=

1/6

Thus, the probability of getting a doublet is

1/6