Throw a Dice

Probability Level 2

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?

\frac{1}{216}

\frac{1}{1296}

\frac{1}{36}

\frac{1}{6}

1 solution

Victor Paes Plinio
Jun 29, 2016

Don't be fooled! Every time you throw a fair dice the chance to get every number in it's face is always $\frac{1}{6}$ . If you want to find the chance to get a number many times in a row, you need to use combinations. But in this case you will throw the dice one time once, and the others times you threw it do not enter in the problem.

Simple logic.

Viki Zeta - 4 years, 11 months ago

Throw a Dice

1 solution

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