Math Problem Statement

A student takes a 20 question, multiple-choice exam with five choices for each question and guesses on each question. Find the probability of guessing at least 17 out of 20 correctly. Round your answer to three decimal places.

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Binomial Distribution

Formulas

Binomial probability formula: P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Binomial coefficient: C(n, k) = n! / (k!(n - k)!)

Theorems

Binomial Theorem

Suitable Grade Level

Grades 10-12