Question

What is the probability of rolling six standard, six-sided dice and getting six distinct numbers? Express your answer as a common fraction.

Answer 1

`(5)/(324)` or 0.015.

Explanation:

Let us assume the dice are distinguishable.

There are 6! ways the required numbers can appear.

Also there are total
`6^(6)` possible rolls, so the probability is :

`(6!)/(6^(6) )`

=
`(720)/(46656)` =
`(5)/(324)` = 0.015