Multiple choice

Three dice are thrown. The probability of getting a sum which is a perfect square is

  1. $\displaystyle \frac {2}{5}$
  2. $\displaystyle \frac {9}{20}$
  3. $\displaystyle \frac {1}{4}$

  4. None of these
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D Correct answer
AI explanation

The total number of outcomes when three dice are thrown is 6^3, which equals 216. The possible perfect square sums between 3 and 18 are 4, 9, and 16, which can be formed in 3, 25, and 6 ways respectively, giving a total of 34 favorable outcomes. The required probability is therefore 34/216, which simplifies to 17/108. Since this value is not among the listed options, the correct choice is none of these.

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