Math Problem Statement
Suppose there are five horses in a horse race. Describe three different sample spaces for the outcomes of the race, depending upon your interest: a. You bet on a single horse and care whether you win or lose. b. You care which of the five horses wins. c. You care about which horses come in first, second, and third.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Sample Spaces
Permutations
Formulas
Permutations: P(n, r) = n! / (n-r)!
Theorems
Fundamental Principle of Counting
Permutation Theorem
Suitable Grade Level
Grades 9-12
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