As part of å fündraišer, raffle tickets were sold to participants for a chance to win a gift card in one of the following amounts: $5, $10, $20, and $50. Among the 150 raffle tickets sold, 9 tickets wll be chosen that award $5 each, 6 tickets will be chosen that award $10 each, 4 tickets will be chosen that award $20 each, and 1 ticket will be chosen that awards $50. The tickets will be chosen randomly and without replacement, and each ticket is equally likely to be chosen. If a participant purchased one ticket, what is the probability of that participant winning a gift card of any amount? A 20 150 65 150 85 150 D 130 150

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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### Probability in Raffle Tickets

As part of a fundraiser, raffle tickets were sold to participants for a chance to win a gift card in one of the following amounts: $5, $10, $20, and $50. Among the 150 raffle tickets sold, 9 tickets will be chosen that award $5 each, 6 tickets will be chosen that award $10 each, 4 tickets will be chosen that award $20 each, and 1 ticket will be chosen that awards $50. The tickets will be chosen randomly and without replacement, and each ticket is equally likely to be chosen. If a participant purchased one ticket, what is the probability of that participant winning a gift card of any amount?

#### Options:
- **A.** \( \frac{20}{150} \)
- **B.** \( \frac{65}{150} \)
- **C.** \( \frac{85}{150} \)
- **D.** \( \frac{130}{150} \)

To find the correct answer, we need to determine the probability that a ticket will be selected for any prize. 

- Total number of winning tickets = 9 (for $5) + 6 (for $10) + 4 (for $20) + 1 (for $50) 
= 20 winning tickets

- Total number of tickets = 150

The probability of winning any prize is the number of winning tickets divided by the total number of tickets:

\[ \text{Probability} = \frac{20}{150} = \frac{2}{15} \]

Therefore, the correct option is:
- **A.** \( \frac{20}{150} \)
Transcribed Image Text:### Probability in Raffle Tickets As part of a fundraiser, raffle tickets were sold to participants for a chance to win a gift card in one of the following amounts: $5, $10, $20, and $50. Among the 150 raffle tickets sold, 9 tickets will be chosen that award $5 each, 6 tickets will be chosen that award $10 each, 4 tickets will be chosen that award $20 each, and 1 ticket will be chosen that awards $50. The tickets will be chosen randomly and without replacement, and each ticket is equally likely to be chosen. If a participant purchased one ticket, what is the probability of that participant winning a gift card of any amount? #### Options: - **A.** \( \frac{20}{150} \) - **B.** \( \frac{65}{150} \) - **C.** \( \frac{85}{150} \) - **D.** \( \frac{130}{150} \) To find the correct answer, we need to determine the probability that a ticket will be selected for any prize. - Total number of winning tickets = 9 (for $5) + 6 (for $10) + 4 (for $20) + 1 (for $50) = 20 winning tickets - Total number of tickets = 150 The probability of winning any prize is the number of winning tickets divided by the total number of tickets: \[ \text{Probability} = \frac{20}{150} = \frac{2}{15} \] Therefore, the correct option is: - **A.** \( \frac{20}{150} \)
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