Multiple choice

A fair die is rolled. Find the probability of getting a prime factor of $3$.

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

The prime factors of 3 are just {3}. A die has {1, 2, 3, 4, 5, 6}. The probability of rolling a 3 is 1/6.

AI explanation

The prime factors of 3 are the prime numbers that divide 3 exactly, which is just the number 3 itself. Using the fundamental probability formula of favorable outcomes over total outcomes, rolling a 3 on a 6-sided die provides 1 favorable outcome out of 6 total possible outcomes. Therefore, the required probability is 1/6.

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