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Sunny_sXe [5.5K]
3 years ago
10

PLEASE HELP!!! A box contains 4 chocolates and 1 fruit chew. Clark and Chloe take turns drawing a treat out of the box without r

eplacement. Whoever draws the fruit chew wins. Clark draws first. What is the probability that Chloe wins? Express your answer as a common fraction.
Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
6 0
4 you have to add in subject
kap26 [50]3 years ago
5 0

Answer:

The total probability is \frac{2}{5}

Step-by-step explanation:

Consider the provided information.

A box contains 4 chocolates and 1 fruit chew and whoever draws the fruit chew wins.

There are 5 choices in total and we need to find the probability that Chloe wins if Clark draws first.

So the possible outcomes are:

Case I:

Clark draws chocolates first and Chloe draws fruit.

\frac{4}{5}\times \frac{1}{4}=\frac{1}{5}

Case II:

Clark draws chocolates, Chloe draws chocolates, now its Clark's turn and he draws chocolates and Chloe draws fruit.

\frac{4}{5}\times \frac{3}{4}\times \frac{2}{3}\times\frac{1}{2}=\frac{1}{5}

Hence, the total probability is \frac{1}{5}+\frac{1}{5}=\frac{2}{5}

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