when two fair dice are rolled, there are 36 possible outcomes. how many possible outcomes would there be if…

when two fair dice are rolled, there are 36 possible outcomes. how many possible outcomes would there be if three fair dice were rolled? there would be \\(\\square\\) possible outcomes.

when two fair dice are rolled, there are 36 possible outcomes. how many possible outcomes would there be if three fair dice were rolled? there would be \\(\\square\\) possible outcomes.

Answer

Explanation:

Step1: Determine outcomes per die

A fair die has 6 faces, so each die has 6 possible outcomes.

Step2: Calculate for three dice

For three dice, we use the multiplication principle. The total number of outcomes is (6\times6\times6). [6\times6\times6 = 6^3 = 216]

Answer:

216