Find the probability distribution of number of doublets m three throws of a pair of dice.

Explanation

To find the probability distribution of the number of doublets in three throws of a pair of dice, we can follow these steps:

### Step 1: Determine the total outcomes and the probability of a doublet
When throwing a pair of dice, there are a total of 36 possible outcomes (6 faces on the first die multiplied by 6 faces on the second die). A doublet occurs when both dice show the same number. The doublets are: (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6). Thus, there are 6 doublets.

**Probability of getting a doublet (P(D))**:
\[
P(D) = \frac{\text{Number of doublets}}{\text{Total outcomes}} = \frac{6}{36} = \frac{1}{6}
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