A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability of two successes.

Explanation

To solve the problem of finding the probability of getting exactly two successes (doublets) when a pair of dice is thrown 4 times, we can use the binomial probability formula. Here’s a step-by-step solution:

### Step 1: Determine the Probability of Success (p)
When throwing a pair of dice, a doublet occurs when both dice show the same number. The possible doublets are (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6).

- Total outcomes when throwing two dice = 6 * 6 = 36.
- Favorable outcomes for doublets = 6.

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