Math Problem Statement
The probability of winning a particular game is 3/5. (Assume all games are independent) Given that, when the game is played m times, the probability of winning exactly two games is three times the probability of winning exactly one game, find the value of m.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Combinatorics
Formulas
Binomial probability formula: P(X = k) = C(m, k) * p^k * (1-p)^(m-k)
Theorems
Binomial Theorem
Independent events probability
Suitable Grade Level
Grades 10-12
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