Multiple choice

A balance die is rolled once, then the probability that the number on the die is a composite number is_

  1. $1/3$
  2. $1/2$
  3. $1/4$
  4. $1/6$
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A Correct answer
Explanation

A die has outcomes {1, 2, 3, 4, 5, 6}. Composite numbers are {4, 6}. There are 2 composite numbers out of 6 total outcomes. Probability = 2/6 = 1/3.

AI explanation

Using the classical probability formula, the chance is the number of favorable outcomes divided by the total outcomes. A standard die has 6 outcomes, of which the composite numbers are 4 and 6. The probability is therefore 2 favorable outcomes divided by 6 total outcomes, which simplifies to 1/3.

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