What is the theoretical probability of rolling a die and landing on an odd number? 


The theoretical probability of an event is the ratio of favorable outcomes to the total number of possible outcomes.

In the case of rolling a standard 6-sided die, the possible outcomes are {1, 2, 3, 4, 5, 6}.

- The odd numbers on a die are {1, 3, 5}.
- So, there are 3 favorable outcomes (rolling an odd number).
- The total number of possible outcomes is 6.

Thus, the theoretical probability \( P(\text{odd}) \) is:

\[
P(\text{odd}) = \frac{3}{6} = \frac{1}{2}
\]

So, the probability of rolling an odd number is \( \frac{1}{2} \) or 50%.

Would you like more details on how probability is calculated?

Here are 5 related questions to explore:

1. What is the probability of rolling a die and landing on a number greater than 4?
2. How does theoretical probability differ from experimental probability?
3. What is the probability of rolling an even number on a 10-sided die?
4. If you roll two dice, what is the probability that both land on odd numbers?
5. What is the probability of rolling a die and landing on a prime number?

**Tip:** Always ensure that you distinguish between favorable outcomes and the total possible outcomes in probability.

What is the theoretical probability of rolling a die and landing on an odd number?

Discover how to calculate the theoretical probability of rolling an odd number on a standard 6-sided die. Learn about favorable outcomes, total possible outcomes, and the basic probability formula. Perfect for students in Grades 6-8, this guide breaks down the probability of landing on 1, 3, or 5.

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