Multiple choice

Two dice are thrown and the sum of the numbers which come up on the dice is noted. Consider the following events: A = the sum is even B = the sum is multiple of 3 C = the sum is less than 4 D = the sum is greater than 11 Which pairs of these events are mutually exclusive?

  1. A and B

  2. B and C

  3. C and D

  4. A and D
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Two events are mutually exclusive if they cannot occur at the same time. C (sum < 4) includes sums {2, 3}, while D (sum > 11) includes only {12}; since these sets have no common outcomes, they are mutually exclusive.

AI explanation

Two events are mutually exclusive if they cannot occur at the same time during a single trial. Event C represents the sum being 2 or 3, while event D represents the sum being exactly 12, making it impossible for both to happen simultaneously. Therefore, the pairs C and D are mutually exclusive.

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