Multiple choice

Two fair dice are rolled. The probability of the sum of digits on their faces to be greater than or equal to $10$ is

  1. $\displaystyle \frac{{1}}{5}$
  2. $\displaystyle \frac{{1}}{4}$
  3. $\displaystyle \frac{{1}}{8}$
  4. $\displaystyle \frac{{1}}{6}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total outcomes when rolling two dice is 36. Sums >= 10 are (4,6), (5,5), (6,4), (5,6), (6,5), (6,6). There are 6 such outcomes. Probability = 6/36 = 1/6.

AI explanation

Rolling two fair dice creates a total sample space of 36 possible outcomes. The combinations that yield a sum greater than or equal to 10 are (4,6), (5,5), (5,6), (6,4), (6,5), and (6,6), providing 6 favorable outcomes. By dividing 6 by 36, the probability simplifies to 1/6.

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