jmc

Question

Ten standard 6-sided dice are rolled. What is the probability that exactly one of the dice shows a 1? Express your answer as a decimal rounded to the nearest thousandth.

Accepted Answer

There are 101 ways to roll exactly one 1 out of 10 dice. The probability of any one of these occurring is (16)^!1(56)^!9. So the overall probability is 101(16)^!1(56)^!9=10 5^96^10 0.323.