Odds

Patgma

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Jun 20, 2021
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If I have a raffle with 1453 tickets and someone buys three of those tickets what are the odds that that a person will win twice?
 
If I have a raffle with 1453 tickets and someone buys three of those tickets what are the odds that that a person will win twice?
This is an ill-defined question. No one can win twice unless there are more than one winning ticket.
So what is the setup? How many winning numbers/tickets are there?
 
This is an ill-defined question. No one can win twice unless there are more than one winning ticket.
So what is the setup? How many winning numbers/tickets are there?
There are three prizes, first second and third. Three tickets will be drawn without returning any previously drawn tickets to the original “pot” of tickets.
 
Now that you stated the whole problem can you please tell us where you are stuck?
This is a math help forum where we help students solve their problems. We never solve problems for students.
Please read our posting guidelines and make an appropriate post showing your work so we can see where you need help.
 
There are three prizes, first second and third. Three tickets will be drawn without returning any previously drawn tickets to the original “pot” of tickets.
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There are \(\dbinom{1453}{3}=510,209,326\) ways to have three tickets.
There are \(\dbinom{3}{2}\dbinom{1450}{1}=4350\) ways to have three tickets such that two two of which are winners.
There is only one way to win all three.
 
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