Multiple choice

A score of 6 or 8 is obtained from a roll of two dice. In which case is the probability is greater?

  1. 1st case

  2. 2nd case

  3. Same in both

  4. Cannot be determined

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A sum of 6 can be obtained by (1,5), (2,4), (3,3), (4,2), (5,1) - 5 outcomes. A sum of 8 can be obtained by (2,6), (3,5), (4,4), (5,3), (6,2) - 5 outcomes. Since both have 5 outcomes, the probabilities are equal.

AI explanation

When two dice are rolled, the probability of getting a sum of 6 relies on 5 favorable outcomes out of 36 total outcomes, yielding a probability of 5/36. The probability of getting a sum of 8 also relies on 5 favorable outcomes, specifically 2 and 6, 3 and 5, 4 and 4, 5 and 3, and 6 and 2, yielding the exact same probability of 5/36. Since both probabilities are identical, neither case is greater. The probability is the same in both cases.

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