Multiple choice

A perfect die is rolled. If the out come is an odd number, the probability that it is a prime is

  1. $\dfrac{1}{3}$
  2. $\dfrac{2}{3}$
  3. $\dfrac{1}{2}$
  4. $\dfrac{1}{8}$
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B Correct answer
Explanation

The odd numbers on a die are 1, 3, and 5. Among these, 3 and 5 are prime numbers. Therefore, the probability is 2/3.

AI explanation

The sample space for the odd numbers rolled on a standard die is 1, 3, and 5, giving a total of 3 possible outcomes. Among these odd numbers, the prime numbers are 3 and 5, yielding 2 favorable outcomes. By the conditional probability formula, we divide the 2 favorable prime outcomes by the 3 total odd outcomes, giving 2/3. The probability is 2/3.

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