10) Susan bought a raffle ticket for $8. There is 1 first prize drawing worth $800 and 8 second prize drawings worth $8. 2000 tickets have been sold. a) What are Susan's odds for winning a second place prize? b) What is Susan's expected value for the raffle?

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Author:Amos Gilat
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### Raffle Problem

Susan bought a raffle ticket for $8. There is 1 first prize drawing worth $800 and 8 second prize drawings worth $8. A total of 2000 tickets have been sold.

#### Questions:
a) What are Susan’s odds for winning a second place prize?

b) What is Susan’s expected value for the raffle?

---

For educational purposes, consider how probability and expected value can be calculated in this context. 

- **Odds Calculation:** To find Susan's odds of winning a second prize, consider the ratio of second place prizes to total tickets.
  
- **Expected Value Calculation:** To determine the expected value, use the probability of winning each prize multiplied by the value of the prize, and sum these products.
Transcribed Image Text:### Raffle Problem Susan bought a raffle ticket for $8. There is 1 first prize drawing worth $800 and 8 second prize drawings worth $8. A total of 2000 tickets have been sold. #### Questions: a) What are Susan’s odds for winning a second place prize? b) What is Susan’s expected value for the raffle? --- For educational purposes, consider how probability and expected value can be calculated in this context. - **Odds Calculation:** To find Susan's odds of winning a second prize, consider the ratio of second place prizes to total tickets. - **Expected Value Calculation:** To determine the expected value, use the probability of winning each prize multiplied by the value of the prize, and sum these products.
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