To find the probability of getting a double odd number on both dice when two dice are rolled, let's go through the details:

1. Each die has six faces: 1, 2, 3, 4, 5, and 6.
2. Out of these numbers, the odd numbers are 1, 3, and 5.

Step-by-Step Solution

• Total possible outcomes when two dice are rolled: $6 \times 6 = 36$.
• Favorable outcomes: We want both dice to show an odd number. The odd numbers are 1, 3, and 5, giving us 3 choices per die.

So, the number of favorable outcomes for both dice showing an odd number is: $3 \times 3 = 9$

Probability Calculation

The probability is calculated as: $\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{9}{36} = \frac{1}{4}$

Answer

Thus, the correct answer is not listed in the options provided. The probability is: $\frac{1}{4}$

If you have any questions or need further clarification, feel free to ask!

Related Questions to Explore:

1. What is the probability of getting a double even number on both dice?
2. What is the probability of rolling a sum of 7 with two dice?
3. How many total outcomes are possible if three dice are rolled?
4. What is the probability of getting at least one odd number in a roll of two dice?
5. What is the probability of rolling two dice and getting a sum greater than 8?

Tip:

Always count favorable outcomes carefully by considering each possibility that meets the condition.