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
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