Question

Two dice are rolled together. find the probability of getting a. A doublet. b. A sum of seven.​

Answer 1

Answer:

0.1667

Step-by-step explanation:

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) = Number of ways to get doubles / total number of outcomes

=6/36  

=1/6  

Thus, the probability of getting a doublet is  1/6  which is approximately 0.1667.