# If you roll a pair of standard dice, in how many ways can one of the dice be a "5"? Whats the formula?

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### 1 Answer

If you roll a pair of fair dice, the number of total outcomes is 6^2, i.e. 36.

If the first die is "5", second die may be 1, 2, 3, 4, 5, or 6 = 6 different ways. Out of these ways, one has both of the dies showing up 5. This should be discarded. So, the number of ways =5.

Similarly, if the second die is "5", first die may be 1, 2, 3, 4, 5, or 6 = 6 idifferent ways. Out of these ways, one has both of the dies showing up 5. Discarding this value gives the number of ways =5.

So, the total number of ways one of the dice can be a "5" is 5+5=10.