Math Problem Statement
A quiz consists of 20 multiple-choice questions, each with 5 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 40 %.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Formulas
Binomial Probability Formula: P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
Cumulative Probability: P(X >= k) = Sum(P(X = k) for k = threshold to n)
Theorems
Binomial Theorem
Suitable Grade Level
Grades 11-12
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