Multiple choice

A die is thrown once. Find the probability that the outcome is a multiple of 2 or 3.

  1. 1/2

  2. 2/3

  3. 5/6

  4. 1/3
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B Correct answer
Explanation

Multiples of 2: {2, 4, 6}. Multiples of 3: {3, 6}. Union: {2, 3, 4, 6}. Count = 4. Probability = 4/6 = 2/3.

AI explanation

The sample space for throwing a die once contains 6 outcomes. The favorable outcomes are multiples of 2 or 3, which are 2, 3, 4, and 6, giving 4 favorable outcomes. The probability is the number of favorable outcomes divided by the total outcomes, which is 4/6 or 2/3.

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