Math Problem Statement
What is the probability of rolling 2 standard dice which sum to 9?
Note: enter your answer in the form "5/7"
Solution
To find the probability of rolling two standard dice which sum to 9, we'll follow these steps:
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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.
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Determine the total number of possible outcomes when rolling two dice:
- Each die has 6 faces, so the total number of outcomes is .
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Calculate the probability:
- The probability is the number of favorable outcomes divided by the total number of possible outcomes:
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:
- What is the probability of rolling a sum of 7 with two dice?
- How many different sums are possible when rolling two dice?
- What is the probability of rolling doubles with two dice?
- What is the probability of rolling a sum of 11 with two dice?
- How many total outcomes are there if you roll three dice?
- What is the probability of rolling at least one 6 with two dice?
- How would the probability change if one of the dice had 8 sides?
- 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.
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Math Problem Analysis
Mathematical Concepts
Probability
Dice Rolls
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8