Multiple choice

A fair die is thrown. What is the probability that the score is not a factor of $5$?

  1. $\dfrac{1}{5}$
  2. $\dfrac{1}{3}$
  3. $\dfrac{5}{6}$
  4. $\dfrac{2}{3}$
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D Correct answer
Explanation

Factors of 5 are 1 and 5. The die outcomes are {1, 2, 3, 4, 5, 6}. Outcomes that are NOT factors of 5 are {2, 3, 4, 6}. There are 4 such outcomes out of 6. Probability = 4/6 = 2/3.

AI explanation

Using the classical definition of probability, the probability equals the number of favorable outcomes divided by the total possible outcomes. The factors of 5 on a six-sided die are 1 and 5, meaning there are 4 numbers that are not factors of 5 (2, 3, 4, and 6). Thus, the probability of not getting a factor of 5 is 4 out of 6, which simplifies to 2/3.

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