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.

To solve this problem, let's break it down step by step. The key is to determine the probability that Chloe draws the fruit chew and wins.

### Step 1: Total Number of Treats
There are 5 treats in the box: 4 chocolates and 1 fruit chew.

### Step 2: Probability Scenarios
Clark draws first, and Chloe wins only if Clark does **not** draw the fruit chew on his turn. If Clark does not draw the fruit chew, Chloe will have the chance to draw from the remaining 4 treats.

#### Case 1: Clark does not draw the fruit chew
- Probability of Clark **not** drawing the fruit chew:  
  \[
  \text{Probability} = \frac{4}{5}
  \]
  (since 4 out of the 5 treats are chocolates).

- After Clark’s draw, 4 treats remain: 3 chocolates and 1 fruit chew.
  
- Probability that Chloe now draws the fruit chew:
  \[
  \text{Probability} = \frac{1}{4}
  \]

Thus, the probability that Chloe wins given that Clark did not draw the fruit chew is:
\[
\text{Combined Probability} = \frac{4}{5} \times \frac{1}{4} = \frac{4}{20} = \frac{1}{5}
\]

### Final Answer
The probability that Chloe wins is \( \frac{1}{5} \).

Would you like to know more about how this probability was derived or have any further questions?

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**Related Questions:**
1. What is the probability that Clark wins on his first draw?
2. How does the probability change if Chloe draws first?
3. What is the expected number of draws before the fruit chew is drawn?
4. What is the probability that the game ends in the third draw?
5. If the box contains 5 chocolates and 1 fruit chew, what is the probability that Chloe wins?

**Tip:** Always check how changes in conditions (like order of drawing) affect probability outcomes.

Explore a probability problem where Clark and Chloe draw treats from a box containing chocolates and a fruit chew. Calculate the probability that Chloe wins by drawing the fruit chew after Clark's turn. Suitable for Grades 6-8.

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