Math Problem Statement

Assume that random guesses are made for 8 ​multiple-choice questions on a test with 2 choices for each​ question, so that there are n=8 ​trials, each with probability of success​ (correct) given by p=.50. Find the probability of no correct answers.

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Binomial Distribution

Formulas

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Theorems

Binomial Theorem

Suitable Grade Level

Grades 10-12