Multiple choice

A die is thrown once, the probability of getting a prime number is 1/m. Value of m is

  1. 1

  2. 2

  3. 3

  4. Can't determine
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B Correct answer
Explanation

A die has outcomes {1, 2, 3, 4, 5, 6}. Prime numbers are {2, 3, 5}. Probability = 3/6 = 1/2. Thus, m = 2.

AI explanation

Using the classical definition of probability, the sample space of throwing a die has 6 outcomes and the prime numbers are 2, 3 and 5. The probability of getting a prime number is 3 divided by 6, which equals 1/2. Comparing this to 1/m gives m equals 2.

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