Throw a Dice

You have a fair dice and wanted to find the chance to get a 5 each time you throw it.

You know that you have \(\frac{1}{6}\) of chance to get a 5 in the first time. Also, you have \(\frac{1}{36}\) of chance to get 5 two times in a row. Finally, you have \(\frac{1}{216}\) of chance to get a 5 three times in a row.

You threw the dice three times and get a 5 each time.

Now if you throw this dice, what is the chance to get a 5 again?

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