Multiple choice

A dice is thrown once . Find the probability of getting a number which is not a factor of $36$.

  1. $\dfrac4 6$
  2. $\dfrac1 6$
  3. $\dfrac3 6$
  4. $\dfrac2 6$
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B Correct answer
Explanation

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. Numbers on a die are 1, 2, 3, 4, 5, 6. All are factors of 36 except 5. Probability = 1/6.

AI explanation

The sample space for a single die is the set of numbers 1, 2, 3, 4, 5 and 6. The factors of 36 within this sample space are 1, 2, 3, 4 and 6, leaving only the number 5 as a non-factor. Since there is only 1 favorable outcome out of 6 possible outcomes, the probability is 1/6.

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