Multiple choice

A dice is thrown once, a number is noted, then probability that it is a prime number is.

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

A dice has 6 outcomes: 1, 2, 3, 4, 5, 6. Prime numbers are 2, 3, 5. There are 3 prime numbers. Probability = 3/6.

AI explanation

When a single die is thrown, the sample space contains six outcomes. The prime numbers on a die are 2, 3, and 5, giving 3 favorable outcomes. Using the classical definition of probability, the probability is the ratio of favorable outcomes to total outcomes, which is 3 divided by 6. The probability is 3/6.