Multiple choice

A fair dice is thrown once what is the probability of the event such that outcome of the event is multiple of 3.

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

A fair die has outcomes {1, 2, 3, 4, 5, 6}. The multiples of 3 are {3, 6}. The probability is 2/6 = 1/3.

AI explanation

The sample space for a single die throw consists of 1, 2, 3, 4, 5 and 6, giving 6 total outcomes. The multiples of 3 in this range are 3 and 6, providing 2 favorable outcomes. By the classical definition of probability, the chance of this event is 2 divided by 6. The result is 1/3.

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