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# Another stupid math question

Topic closed. 11 replies. Last post 11 years ago by afumbler.

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New Member
Fort Worth
United States
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March 30, 2006
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 Posted: March 30, 2006, 3:26 pm - IP Logged

Is it better to buy a 7\$ scratch off with a 1 in 2.73 chance of winning, or to buy 3

2\$'s with a 1 in 4.27 chance each?  You have a better chance of winning with the three tickets than you do with the one.  You would have a 70% chance of winning a prize with three tickets and only about a 37% chance with the one \$7.  Is that right?

New Member
Fort Worth
United States
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March 30, 2006
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 Posted: March 30, 2006, 4:54 pm - IP Logged

That's not right is it?

New Member
Fort Worth
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 Posted: March 30, 2006, 6:00 pm - IP Logged

I guess the answer is the odds are better on the 7\$ ticket than the three 2\$ tickets any day.

New Member
Fort Worth
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 Posted: March 30, 2006, 6:26 pm - IP Logged

I think the percentage of winning a prize with the three \$2 tickets would be 30.2%.

The odds for winning with the \$7 ticket would be 36.6%.

Anybody know if that's right?

United States
Member #12495
March 15, 2005
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 Posted: March 31, 2006, 3:43 pm - IP Logged

Let's put it this way: say I sell you a \$3 ticket that pays everyone \$1, isn't that 100% chance of winning?

texas
United States
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May 17, 2004
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 Posted: March 31, 2006, 4:03 pm - IP Logged

I would buy 3 two dollar tickets and 1 1 dollar ticket

New Member
Fort Worth
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 Posted: March 31, 2006, 4:34 pm - IP Logged

Yeah, that's what I meant by winning a prize, but they don't have \$1 winners on \$3 tickets.  Not here anyway.  I was just trying to figure the odds of winnig any prize like what is represented in the odds they give.  I wasn't trying to figure out how to make money.  If I was really trying to make money I wouldn't be buying lottery tickets.  I was just trying to figure out  how you calculate the odds for winning any prize.  I think the 7\$ ticket would be better than 3 2's and a 1, unless you really had better odds on the 1 than they have in TX.

United States
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March 15, 2005
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 Posted: March 31, 2006, 4:44 pm - IP Logged

In that case, then the chance of getting nothing from 3 \$2 ticket is 76%*76\$*76%=45%, the chance of getting at least one prize from them is 1-45%=55%.

New Member
Fort Worth
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 Posted: March 31, 2006, 5:17 pm - IP Logged

Thanks. That's what I was trying to figure out.  It is better to get the three \$2 tickets.  Or at least I'll have a better chance of winning a prize, even if I'm not making money.

New Member
Fort Worth
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 Posted: March 31, 2006, 5:33 pm - IP Logged

But if I assume the minimum prize, \$2 or \$7 and multiply I get \$1.10 vs. \$2.10.  Is that a valid way to look at it?  It's a different question than my original.  But I invested \$6 vs \$7 so I guess it would make sense to buy the dollar ticket too.  Too much math for me.

Burton,Texas
United States
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January 8, 2004
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 Posted: April 27, 2006, 10:50 am - IP Logged

If you bought 7 tickets of any size and only one was a winnier, who won the

money on the other six?

New Member
Fort Worth
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March 30, 2006
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 Posted: April 27, 2006, 11:09 am - IP Logged

Texas

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