The college hiking club is having a fund raiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 715 cookies before the drawing. Lisa bought 32 cookies. What is the probability she will win the dinner for two? Write your answer as a fraction in simplest form, if one exists. 01 32 683 715 O 32 683 O none of these choices O 32 715

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**Probability Problem: Fundraising Event for College Hiking Club**

The college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 715 cookies before the drawing. Lisa bought 32 cookies. What is the probability she will win the dinner for two? Write your answer as a fraction in simplest form, if one exists.

**Options:**
- (a) \( \frac{1}{32} \)
- (b) \( \frac{683}{715} \)
- (c) \( \frac{32}{683} \)
- (d) none of these choices
- (e) \( \frac{32}{715} \)

**Explanation:**
Given that Lisa bought 32 out of the total 715 cookies, we calculate her winning probability by dividing the number of cookies she bought by the total number of cookies sold. Hence, the probability is:

\( \frac{32}{715} \)

This corresponds to option (e) in the provided choices.

Feel free to visit our probability resources page to learn more about solving similar problems!
Transcribed Image Text:**Probability Problem: Fundraising Event for College Hiking Club** The college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 715 cookies before the drawing. Lisa bought 32 cookies. What is the probability she will win the dinner for two? Write your answer as a fraction in simplest form, if one exists. **Options:** - (a) \( \frac{1}{32} \) - (b) \( \frac{683}{715} \) - (c) \( \frac{32}{683} \) - (d) none of these choices - (e) \( \frac{32}{715} \) **Explanation:** Given that Lisa bought 32 out of the total 715 cookies, we calculate her winning probability by dividing the number of cookies she bought by the total number of cookies sold. Hence, the probability is: \( \frac{32}{715} \) This corresponds to option (e) in the provided choices. Feel free to visit our probability resources page to learn more about solving similar problems!
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