## Math Problem Statement

Multiple-choice questions each have five possible answers (a, b, c, d, e), one of which is correct. Assume that you guess the answers to three such questions. a. Use the multiplication rule to find P(WWC), where C denotes a correct answer and W denotes a wrong answer. P(WWC) = Type an exact answer.)

Based on preceding results, what is the probability of getting exactly one correct answer when three guesses are made?

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Probability

Independent Events

Multiplication Rule

### Formulas

P(W) = 1 - P(C)

P(C) = 1/5

P(WWC) = P(W) × P(W) × P(C)

P(Exactly one correct) = P(CWW) + P(WCW) + P(WWC)

### Theorems

Multiplication Rule for Independent Events

### Suitable Grade Level

Grades 9-11

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