# What are the odds and probability of rolling 5 dice, and all 5 dice are the same number?

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There are six faxes with six distinct numbers. For each dice, the

probability is (number of favorable cases)/(the total number of all possible cases).

Because any first roll is favorable, this probability can be modeled by:

For all showing the same number, it is the compound probability

= product of the separate probabilities.

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Odds are

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Let's look at the probability first.

They must be all

The odds are given as a ratio of the number of ways this will happen compared to the number of ways it doesn't.

So if the first die is

The odds for this happening are

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