You roll five fair, six-sided dice, all at the same time. In that one roll, what is the probability of getting five of the same number?

Source: NCTM Mathematics Teacher, September 2006

**Solution
**When you roll five dice at the same time, possible numbers from through can come up on each of the five dice. The number of possible outcomes = . There are possible ways the five dice come up with the same number: . The probability of getting five of the same number in one roll = .

**Answer**:

**Alternative solution**

Suppose the event occurs on a roll. Since the number on the first dice is independent of the number on the second dice, etc., the probability of the event . The probability of getting five of the same number in one roll = .

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