Math Problem Statement
winning a jackpot in a lottery requires that you select the correct 2 numbers between 1 and 57 and, in a separate drawing, you must also select the correct single number between 1 and 33. find the probability of winning the jackpot.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Combinatorics
Independent Events
Formulas
Combination formula: C(n, k) = n! / [k!(n - k)!]
Probability of independent events: P(A and B) = P(A) * P(B)
Theorems
Combination Theorem
Multiplication Rule of Probability for Independent Events
Suitable Grade Level
Grades 9-12
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