Question

Ten dice are rolled. What is the probability that exactly one die shows a one.

Answer 1

exactly one?

Answer 2

Exactly one

Answer 3

binomial for this one
one "one" and 9 "not ones"
\[\binom{10}{1}\left(\frac{1}{6}\right)\times \left(\frac{5}{6}\right)^9\]

Answer 4

Thanks, I had a feeling it would be that ;)

Answer 5

1/6 chance that one of the ten dice is a one.
The other five dice each have a 5/6 chance of being something other than one.

1/6 * nine instances of *(5/6)