Find the probability distribution of the number of doublets in four throws of a pair of dice.

Explanation

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

### Step 1: Define the Problem
We need to find the probability distribution of the number of doublets (where both dice show the same number) when throwing a pair of dice four times. A doublet can be any of the following combinations: (1,1), (2,2), (3,3), (4,4), (5,5), or (6,6).

### Step 2: Determine the Probability of Success
The total number of outcomes when throwing a pair of dice is 36 (6 faces on the first die × 6 faces on the second die). The successful outcomes for doublets are 6 (one for each number from 1 to 6).

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