Multiple choice

Two dice are rolled simultaneously. The probability that the sum of the two numbers on the dice is a prime number is

  1. $\displaystyle \frac{1}{4}$
  2. $\displaystyle \frac{5}{36}$
  3. $\displaystyle \frac{5}{12}$
  4. $\displaystyle \frac{5}{6}$
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C Correct answer
AI explanation

Rolling two dice simultaneously creates 36 equally likely outcomes. The prime sums possible are 2, 3, 5, 7, and 11, which have 1, 2, 4, 6, and 2 favorable combinations respectively. Adding these combinations gives a total of 15 favorable outcomes. The probability is 15/36, which reduces to 5/12.

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