Question

PLEASE HELP!!! 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.

Answer 1

4 you have to add in subject

Answer 2

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 $\frac{1}{5}+\frac{1}{5}=\frac{2}{5}$