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Pull-tabs

What Are the Odds?

What are the odds?

A box of pull-tabs has 3,399 cards and offers the possibility of winning $250 for a winning card that can be purchased for $1. Here is the payout schedule that the pull- tab seller receives when the box is purchased.

 

 Takes in 3,399 cards at $1 per card  $3,399
 PAYOUTS 
 1 winner @ $250  $250
4 winners @ $249
 $996
4 winners @ $100
 $400
12 winners @ $25
 $300
 28 winners @ $10
 $280
 336 winners @ $1
 $336
 Payout 75%
 $2,562
 Profit to the seller 25%
 $837

 

 

 

 

 

 

 

 

 

 

 

The seller advertises a 75% payout of all proceeds and the chance to win $250 for just a $1 bet!

 

Given this information, answer the following questions:

Given this information, answer the following questions:

1. How many pull-tab buyers will win any amount of money?_________

2. How many buyers will win the grand prize?__________

3. What percent of the winners will win the smallest amount of payout, $1? __________

4. Assuming 3,399 people each buy a $1 card, how many people will lose money gambling on the chance to win $250? __________

5. What percentage of these people will win any amount of money?__________

6. How much money would a person need to spend buying pull-tabs to guarantee he/she would win more than he/she loses?__________

 

 Answer Key