Math Problem Statement
b. How many possible outcomes are there if you toss
threethree
66-sided
dice?
enter your response here
outcomes
(Type a whole number.)
Solution
To find the number of possible outcomes when tossing three 6-sided dice, we need to calculate the total combinations that can occur with three dice, each having 6 faces.
Each die has 6 possible outcomes (1 through 6). Since the rolls are independent of each other, we multiply the outcomes of each die:
Thus, there are 216 possible outcomes when tossing three 6-sided dice.
Would you like further details on this calculation, or have any questions?
- How many outcomes are there with four 6-sided dice?
- What is the probability of rolling three identical numbers with three 6-sided dice?
- How many possible outcomes are there with three 4-sided dice?
- What is the probability of rolling a sum of 10 with three 6-sided dice?
- How many possible outcomes are there if you roll three 8-sided dice?
Tip: When calculating possible outcomes with independent events, multiply the number of outcomes for each individual event.
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Probability
Formulas
Total outcomes = 6^3 = 216
Theorems
Multiplication Rule of Counting
Suitable Grade Level
Grades 7-9