Multiple choice

A die is thrown. Find the probability of getting the following prime number?

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

A standard die has six faces numbered 1 through 6. The prime numbers in this set are 2, 3, and 5, totaling 3 prime numbers. The probability is 3/6, which simplifies to 1/2.

AI explanation

The sample space for a die roll is 1, 2, 3, 4, 5, and 6. The prime numbers within this space are 2, 3, and 5, giving 3 favorable outcomes. By dividing the favorable outcomes by the total outcomes, 3/6 simplifies to 1/2.