SOLUTION: A raffle offers a first prize of $500, and two second prizes of $50 each. One ticket costs $2, and 1000 tickets are sold. Find the expected winnings for a person who buys one ticke

Algebra.Com
Question 285602: A raffle offers a first prize of $500, and two second prizes of $50 each. One ticket costs $2, and 1000 tickets are sold. Find the expected winnings for a person who buys one ticket.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A raffle offers a first prize of $500,
and two second prizes of $50 each.
One ticket costs $2, and 1000 tickets are sold.
Find the expected winnings for a person who buys one ticket.
-------------
Random winning values are: 498,48,-2
Correspondiing probabilities are: 1/500, 2/500, 497/500
-------------
Expected winnings = (498+2(48)+(497)(-2))/500
---
= (498 + 96 - 994)/500
---
= (-400/500)
= -4/5
= -$0.80
============================
Cheers,
Stan H.

RELATED QUESTIONS

a raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of... (answered by stanbon)
A raffle offers (1) first prize of $1000, (2) second prizes of $300 and (20) third prizes (answered by stanbon)
A raffle has a first prize of $400, two second prizes of $ 75 eac, and ten third prizes... (answered by solver91311)
A lottery offers on $1000 prize, one $500 prize and five $100 prizes. Seven hundred... (answered by ikleyn,greenestamps)
A church raffle will be held during the Columbus Day weekend festival. 1000 Tickets will... (answered by solver91311)
500 raffle tickets are sold at $2 each. One grand prize of $100 and two consolation... (answered by stanbon)
In a raffle 1000 tickets are being sold at $1.00 each. The first prize is $100. There are (answered by ewatrrr)
Question 24 Two thousand raffle tickets are sold for $3 each. Three prizes will be... (answered by greenestamps)
) A local charity sells 100 raffle tickets for $20 each as part of a fund raiser. There... (answered by edjones)