Question

What are the odds of rolling 10 dice the same?

Answer 1

See a solution process below:

Explanation:

The first die you roll it does not matter what you roll, so the is a 6 in 6 chance of rolling some number. Or

`6/6`

The is a 1 in 6 chance of rolling the same number on each of the other 9 dice as you rolled on the first die. Or:

`6/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 =>`

`1 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 =>`

`1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 =>`

`1/6^9`

Or

a 1 in 10,077,696 chance