Math Problem Statement
We roll a fair dice three times.
Solution
When rolling a fair die three times, each roll has 6 possible outcomes (1 through 6), and the total number of possible outcomes is:
This forms the basis for solving many probability-related questions involving three dice rolls.
Would you like to explore specific scenarios or calculations, such as:
- What is the probability of rolling a sum greater than a certain number?
- What is the probability of rolling three of the same number (triples)?
- What is the probability of getting at least one "6"?
- What is the expected value of the sum of the three rolls?
- How does the distribution of sums look?
Tip: When calculating probabilities for multiple dice rolls, always break down complex problems into smaller, manageable parts.
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Math Problem Analysis
Mathematical Concepts
Probability
Combinatorics
Formulas
Total outcomes for multiple independent events: n^k
Basic probability formula: favorable outcomes / total outcomes
Theorems
Multiplication Principle of Counting
Suitable Grade Level
Grades 8-10