# Rolling four fair dice and getting four 6s

Rolling four fair dice and getting four 6s

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cyhuddwyr9

The outcome of each die is independent of the outcome of the other dice. The probability of rolling four dice is then the product of getting a certain number on each of the four dice.
There are 6 possible outcomes on a die and only one of them is a 6. The probability of rolling a 6 is then $$\frac{1}{6}$$. The probability of rolling four 6s is then $$\displaystyle\frac{{1}}{{6}}\cdot\frac{{1}}{{6}}\cdot\frac{{1}}{{6}}\cdot\frac{{1}}{{6}}=\frac{{1}}{{1296}}$$