What are the odds of rolling 10 dice the same?

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Answer 1 · 2018-03-07T08:31:45

See a solution process below:

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