If three six-faced fair dice are thrown together, find the probability that the sum of the numbers appearing on the dice is 12.

Explanation

To find the probability that the sum of the numbers appearing on three six-faced fair dice is 12, we can follow these steps:

### Step 1: Determine the total number of outcomes
When three six-faced dice are thrown, each die has 6 faces. Therefore, the total number of outcomes when throwing three dice is calculated as follows:

\[ \text{Total outcomes} = 6 \times 6 \times 6 = 216 \]
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