Multiple choice

A die is thrown once. What is the probability of getting a composite number?

  1. $\dfrac{1}{3}$
  2. $\dfrac{2}{5}$
  3. $\dfrac{2}{3}$
  4. $\dfrac{1}{2}$
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A Correct answer
Explanation

A standard die has outcomes {1, 2, 3, 4, 5, 6}. Composite numbers are numbers greater than 1 that are not prime; in this set, they are 4 and 6. The probability is 2/6, which simplifies to 1/3.

AI explanation

When a single die is thrown, the total number of possible outcomes is 6. The composite numbers between 1 and 6 are 4 and 6, giving 2 favorable outcomes. By the classical definition of probability, the required probability is 2/6, which simplifies to 1/3.

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