Multiple choice

A fair dice is thrown once. Find the probability of the event such that the outcome of the event is multiple of 5.

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

A fair die has 6 outcomes: 1, 2, 3, 4, 5, 6. The only multiple of 5 in this set is 5 itself, which is 1 outcome. Thus, the probability is 1/6.

AI explanation

Using the classical definition of probability, the required probability is the number of favorable outcomes divided by the total possible outcomes. When a single die is thrown, the total number of possible outcomes is 6, and the only outcome that is a multiple of 5 is the number 5. Therefore, the probability is 1 divided by 6.