Multiple choice

A twelve-sided die has the numbers one through twelve on the faces of the die. When the die is rolled, find the probability of occurrence of an odd number.

  1. $\dfrac {1}{6}$
  2. $\dfrac {1}{5}$
  3. $\dfrac {1}{4}$
  4. $\dfrac {1}{3}$
  5. $\dfrac {1}{2}$
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E Correct answer
Explanation

Numbers 1-12. Odd numbers: 1, 3, 5, 7, 9, 11 (6 total). Probability = 6/12 = 1/2.

AI explanation

Using the classical definition of probability, the probability equals the number of favorable outcomes divided by the total possible outcomes. A twelve-sided die has 12 total outcomes, and the odd numbers are 1, 3, 5, 7, 9, and 11, giving 6 favorable outcomes. Therefore, the probability of rolling an odd number is 6 divided by 12, which simplifies to 1/2.

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