Three dice are thrown simultaneously. Find the probability that: (i)all of them show the same face. (ii)all show distinct faces. (iii)two of them show the same face.

Explanation

To solve the problem of finding the probabilities when three dice are thrown simultaneously, we will break it down into three parts as given in the question.

### Total Outcomes
When three 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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