Multiple choice

A dice is rolled once What is the probability of rolling a prime number

  1. $\displaystyle \frac{2}{3}$
  2. $\displaystyle \frac{1}{2}$
  3. $\displaystyle \frac{1}{6}$
  4. $\displaystyle \frac{5}{6}$
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B Correct answer
Explanation

The prime numbers on a standard die are 2, 3, and 5. There are 3 prime numbers out of 6 total outcomes. The probability is 3/6 = 1/2.

AI explanation

Using the classical probability formula, the probability is the number of favorable outcomes divided by the total number of possible outcomes. A die has six faces, and the prime numbers are 2, 3, and 5, giving three favorable outcomes. The probability is 3 divided by 6, which equals 1/2.