Math Problem Statement

A box contains 4 chocolates and 1 fruit chew. Clark and Chloe take turns drawing a treat out of the box without replacement. Whoever draws the fruit chew wins. Clark draws first. What is the probability that Chloe wins? Express your answer as a common fraction.

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Combinatorics

Formulas

P(Clark does not draw the fruit chew) = 4/5
P(Chloe draws the fruit chew) = 1/4
P(Chloe wins) = P(Clark does not draw the fruit chew) * P(Chloe draws the fruit chew) = 4/5 * 1/4 = 1/5

Theorems

Basic probability theorem (Multiplication rule for independent events)

Suitable Grade Level

Grades 6-8