Multiple choice

What is the probability of the occurrence of a number that is odd or less than $5$ when a fair die is rolled?

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

Outcomes: {1, 2, 3, 4, 5, 6}. Odd numbers: {1, 3, 5}. Less than 5: {1, 2, 3, 4}. Union of sets: {1, 2, 3, 4, 5}. Probability = 5/6.

AI explanation

The total number of possible outcomes when rolling a fair die is 6. The favorable outcomes for getting an odd number (1, 3, 5) or a number less than 5 (1, 2, 3, 4) are the distinct values 1, 2, 3, 4, and 5, giving 5 favorable outcomes. By the addition rule of probability for mutually inclusive events, the probability is 5/6. The probability is 5/6.

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