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

Answer:

$\frac{5}{324}$ or 0.015.

Step-by-step 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 :

$\frac{6!}{6^{6} }$

= $\frac{720}{46656}$ = $\frac{5}{324}$ = 0.015