Multiple choice

When two symmetrical dice are rolled simultaneously, the probability that both the dice show odd numbers is

  1. $\dfrac{1}{2}$
  2. $\dfrac{1}{3}$
  3. $\dfrac{1}{4}$
  4. $\dfrac{1}{8}$
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C Correct answer
Explanation

Each die has 3 odd numbers (1, 3, 5) out of 6. Probability of one die being odd is 3/6 = 1/2. Probability for both is (1/2) * (1/2) = 1/4.

AI explanation

When two symmetrical dice are rolled, the total number of possible outcomes is 36. The odd numbers on a die are 1, 3, and 5, meaning there are 3 odd numbers per die, so the number of ways both dice show odd numbers is 3 multiplied by 3, which is 9. The probability is 9 divided by 36, which simplifies to 1/4.

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