Colorful Dice
Probability
Level
1
John takes a standard 6-sided die, and colors all of its sides red (still showing numbers from 1 to 6). He similarly colors a second standard 6-sided die blue, and a third standard 6-sided die green. How many different outcomes are possible when John rolls these three dice?
The answer is 216.
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1 solution
Since the dice have different colors, they are distinguishable. For each die, we have 6 possibilities. Therefore, by the rule of product there are 6 × 6 × 6 = 2 1 6 different outcomes.