What is the probability of rolling 2 standard dice which sum to 9?

*Note: enter your answer in the form "5/7"*

To find the probability of rolling two standard dice which sum to 9, we'll follow these steps:

1. **Identify the possible outcomes that result in a sum of 9:**
   - (3, 6)
   - (4, 5)
   - (5, 4)
   - (6, 3)

   There are 4 outcomes that sum to 9.

2. **Determine the total number of possible outcomes when rolling two dice:**
   - Each die has 6 faces, so the total number of outcomes is \(6 \times 6 = 36\).

3. **Calculate the probability:**
   - The probability is the number of favorable outcomes divided by the total number of possible outcomes:
   \[
   \text{Probability} = \frac{4}{36} = \frac{1}{9}
   \]

So, the probability of rolling two standard dice which sum to 9 is **1/9**.

Would you like to see more details, or do you have any questions?

Here are 8 related questions you might find interesting:
1. What is the probability of rolling a sum of 7 with two dice?
2. How many different sums are possible when rolling two dice?
3. What is the probability of rolling doubles with two dice?
4. What is the probability of rolling a sum of 11 with two dice?
5. How many total outcomes are there if you roll three dice?
6. What is the probability of rolling at least one 6 with two dice?
7. How would the probability change if one of the dice had 8 sides?
8. What is the expected value of the sum when rolling two dice?

**Tip:** When calculating probabilities for dice rolls, always list all possible outcomes to ensure you don't miss any favorable cases.

Explore the probability of rolling two standard dice which sum to 9. Learn how to calculate probabilities for dice rolls with a step-by-step explanation. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation