Three standard six-sided dice are rolled simultaneously. How many possible outcomes are there where at least one of the dice displays the number 2?

Explanation

Since each die has 6 faces, the total number of outcomes when rolling three dice is 6 × 6 × 6 = 216. The number of outcomes where none of the dice show a 2 is 5 × 5 × 5 = 125, because each die can show any of the other 5 numbers. Therefore, the number of outcomes where at least one die shows a 2 is 216 - 125 = 91.