Multiple choice

Three dice are thrown simultaneously, the probability of obtaining a total of 18 is

  1. $\displaystyle \frac{1}{6^3}$
  2. $\displaystyle \frac{1}{6^2}$
  3. $\displaystyle \frac{1}{6}$
  4. $\displaystyle \frac{1}{5}$
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A Correct answer
Explanation

The only way to get a total of 18 with three dice is (6, 6, 6). There is only 1 favorable outcome out of 6^3 = 216 total outcomes.

AI explanation

The maximum sum possible when three dice are thrown is 18, which can only be achieved by rolling a 6 on all three dice, making 1 the only favorable outcome. The total number of possible outcomes when rolling three dice is 6 multiplied by 6 multiplied by 6, which equals 216. According to the classical probability formula, the probability of obtaining a total of 18 is 1 divided by 216, which simplifies to 1 divided by 6^3.

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