


05262004, 09:57 AM

#1

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Posts: 7,187

Mega Millions, how many combinations
Anyone know how many possible number combinations there could be in the MEGA Millions lottery.
You have to pick 5 numbers from 152 and then mega ball from another set of 152.
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05262004, 09:58 AM

#2

No Lifer
Join Date: Sep 2000
Location: Sydney
Posts: 70,214

RE: Mega Millions, how many combinations
52 X 52 X 52 X 52 X 52 is the first one and then with your other megabll thing multiply all again by 52, so chances are low of winning.
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05262004, 10:03 AM

#3

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RE: Mega Millions, how many combinations
Quote:
Originally posted by: Skoorb
52 X 52 X 52 X 52 X 52 is the first one and then with your other megabll thing multiply all again by 52, so chances are low of winning.

So thats why i didnt win last night
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05262004, 10:05 AM

#4

Lifer
Join Date: Oct 1999
Posts: 36,930

Mega Millions, how many combinations
Quote:
Originally posted by: Skoorb
52 X 52 X 52 X 52 X 52 is the first one and then with your other megabll thing multiply all again by 52, so chances are low of winning.

No, it would be:
52 x 51 x 50 x 49 x 48 x 52 = 16,217,510,400
More specifically one in, but you get the picture.
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05262004, 10:06 AM

#5

Diamond Member
Join Date: Sep 2003
Posts: 7,187

RE: Mega Millions, how many combinations
Quote:
Originally posted by: Viper GTS
Quote:
Originally posted by: Skoorb
52 X 52 X 52 X 52 X 52 is the first one and then with your other megabll thing multiply all again by 52, so chances are low of winning.

No, it would be:
52 x 51 x 50 x 49 x 48 x 52 = 16,217,510,400
Viper GTS

16 billion combination jeez
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05262004, 10:08 AM

#6

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RE: Mega Millions, how many combinations
Quote:
Originally posted by: Jnetty99
Quote:
Originally posted by: Skoorb
52 X 52 X 52 X 52 X 52 is the first one and then with your other megabll thing multiply all again by 52, so chances are low of winning.

So thats why i didnt win last night

Let's put it this way: If every single person on the planet of 6 billion entered and they all had different numbers so that no two people were using the same one, there would be a prize winning only every third occasion that there was a drawing.
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05262004, 10:08 AM

#7

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Join Date: Sep 2000
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Mega Millions, how many combinations
Quote:
Originally posted by: Viper GTS
Quote:
Originally posted by: Skoorb
52 X 52 X 52 X 52 X 52 is the first one and then with your other megabll thing multiply all again by 52, so chances are low of winning.

No, it would be:
52 x 51 x 50 x 49 x 48 x 52 = 16,217,510,400
More specifically one in, but you get the picture.
Viper GTS

You're not allowed to pick the same number on each of the 52? I guess I don't play the lotto enough to know that
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05262004, 10:10 AM

#8

Junior Member
Join Date: Mar 2004
Posts: 20

RE: Mega Millions, how many combinations
Quote:
Originally posted by: Skoorb
52 X 52 X 52 X 52 X 52 is the first one and then with your other megabll thing multiply all again by 52, so chances are low of winning.

Not exactly right. Since you can't pick the same number twice it is actually 52C5 (thats 52 choose 5) then *52 for the powerball. Actually calculates to a 1 in 135,145,920 chance.
The popularity of the lottery is proof that the US is becomming more mathematically retarded.



05262004, 10:14 AM

#9

Diamond Member
Join Date: Sep 2003
Posts: 7,187

RE: Mega Millions, how many combinations
Quote:
Originally posted by: profmath
Quote:
Originally posted by: Skoorb
52 X 52 X 52 X 52 X 52 is the first one and then with your other megabll thing multiply all again by 52, so chances are low of winning.

Not exactly right. Since you can't pick the same number twice it is actually 52C5 (thats 52 choose 5) then *52 for the powerball. Actually calculates to a 1 in 135,145,920 chance.
The popularity of the lottery is proof that the US is becomming more mathematically retarded.

I see the odds on the website for lottery same as you posted. so its 135 millions combinations instead of 16 billion correct? if it is makes me feel better.
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05262004, 10:15 AM

#10

Junior Member
Join Date: Mar 2004
Posts: 20

RE: Mega Millions, how many combinations
Srry Viper but I don't think that the lottery cares what order that the numbers are in so your way(permutations) is incorrect.
Here is good info
Math Help



05262004, 10:16 AM

#11

Lifer
Join Date: Oct 1999
Posts: 36,930

RE: Mega Millions, how many combinations
Quote:
Originally posted by: Jnetty99
Quote:
Originally posted by: profmath
Quote:
Originally posted by: Skoorb
52 X 52 X 52 X 52 X 52 is the first one and then with your other megabll thing multiply all again by 52, so chances are low of winning.

Not exactly right. Since you can't pick the same number twice it is actually 52C5 (thats 52 choose 5) then *52 for the powerball. Actually calculates to a 1 in 135,145,920 chance.
The popularity of the lottery is proof that the US is becomming more mathematically retarded.

I see the odds on the website for lottery same as you posted. so its 135 millions combinations instead of 16 billion correct? if it is makes me feel better.

Mine would be for picking them in the same order as they did, if the order doesn't matter then the math is beyond me (never had any probability).
Viper GTS



05262004, 10:20 AM

#12

Elite Member Super Moderator Off Topic
Join Date: Mar 2000
Posts: 94,075

Mega Millions, how many combinations
Quote:
Originally posted by: profmath
The popularity of the lottery is proof that the US is becomming more mathematically retarded.

after a certain point each lottery gets to an even bet. i buy tickets starting at that point.
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05262004, 10:21 AM

#13

Junior Member
Join Date: Mar 2004
Posts: 20

RE: Mega Millions, how many combinations
Quote:
Originally posted by: ElFenix
Quote:
Originally posted by: profmath
The popularity of the lottery is proof that the US is becomming more mathematically retarded.

after a certain point each lottery gets to an even bet. i buy tickets starting at that point. mega millions is about $140 million.

The lottery is NEVER and even bet. Odds are always 1 in 135 million



05262004, 10:22 AM

#14

No Lifer
Join Date: Sep 2000
Location: Sydney
Posts: 70,214

RE: Mega Millions, how many combinations
Quote:
Originally posted by: profmath
Quote:
Originally posted by: Skoorb
52 X 52 X 52 X 52 X 52 is the first one and then with your other megabll thing multiply all again by 52, so chances are low of winning.

Not exactly right. Since you can't pick the same number twice it is actually 52C5 (thats 52 choose 5) then *52 for the powerball. Actually calculates to a 1 in 135,145,920 chance.
The popularity of the lottery is proof that the US is becomming more mathematically retarded.

But if you're choosing 5 numbers between 1 and 52, and you can't repeat, then viper's math sounds good to me. I don't know how you come up with 135 million? Even without the final X 52, you've still got 311 million.
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05262004, 10:24 AM

#15

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Join Date: Sep 2000
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RE: Mega Millions, how many combinations
Quote:
Originally posted by: profmath
Quote:
Originally posted by: ElFenix
Quote:
Originally posted by: profmath
The popularity of the lottery is proof that the US is becomming more mathematically retarded.

after a certain point each lottery gets to an even bet. i buy tickets starting at that point. mega millions is about $140 million.

The lottery is NEVER and even bet. Odds are always 1 in 135 million

Yep, and with people thinking like Elfenix "I don't buy tickets unless the lotto is such and such", then all you end up doing is splitting the winnings.
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05262004, 10:25 AM

#16

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RE: Mega Millions, how many combinations
Oh, order doesn't matter, so I guess that's why viper's number is too high. OK
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05262004, 10:28 AM

#17

Elite Member Super Moderator Off Topic
Join Date: Mar 2000
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RE: Mega Millions, how many combinations
Quote:
Originally posted by: profmath
The lottery is NEVER and even bet. Odds are always 1 in 135 million

do you know what an even bet is?
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05262004, 10:28 AM

#18

Elite Member Super Moderator Off Topic
Join Date: Mar 2000
Posts: 94,075

Mega Millions, how many combinations
Quote:
Originally posted by: Skoorb
Yep, and with people thinking like Elfenix "I don't buy tickets unless the lotto is such and such", then all you end up doing is splitting the winnings.

thats the rub, doesn't always happen though.
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05262004, 10:28 AM

#19

Lifer
Join Date: Oct 2003
Location: Gilberts, IL
Posts: 11,335

RE: Mega Millions, how many combinations
Aren't the chances of getting struck by lightning greater than winning the lotto?
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05262004, 10:30 AM

#20

Lifer
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Location: Columbus of Ohio
Posts: 22,218

RE: Mega Millions, how many combinations
Any site that gives some probability of extremely rare things happening? At work, we play 20 tickets, twice a week, so we have a .000000147% chance of winning (20/135mil).
I wanna compare this chance to something in actual life... like a baby having 28 fingers, or a meteor hitting Earth... stuff like that.
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05262004, 10:30 AM

#21

Lifer
Join Date: Feb 2001
Posts: 28,591

Mega Millions, how many combinations
Quote:
Originally posted by: ElFenix
Quote:
Originally posted by: profmath
The popularity of the lottery is proof that the US is becomming more mathematically retarded.

after a certain point each lottery gets to an even bet. i buy tickets starting at that point.

The problem is that you aren't guaranteed the whole pot. If the pot is at $500 million, you'd be all over that ticket. When 10 people won and you only got $50 million, you'd feel like a loser for making that sucker bet...
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05262004, 10:31 AM

#22

Junior Member
Join Date: Mar 2004
Posts: 20

RE: Mega Millions, how many combinations
Quote:
Originally posted by: ElFenix
Quote:
Originally posted by: profmath
The lottery is NEVER and even bet. Odds are always 1 in 135 million

do you know what an even bet is?

Yes an even bet is one that you have a 50% chance of winning.
A bad bet is one that you have less than a 50% chance of winning.....like the lottery or you being right on this.



05262004, 10:37 AM

#23

Elite Member Super Moderator Off Topic
Join Date: Mar 2000
Posts: 94,075

Mega Millions, how many combinations
Quote:
Originally posted by: profmath
Yes an even bet is one that you have a 50% chance of winning.
A bad bet is one that you have less than a 50% chance of winning.....like the lottery or you being right on this.

no, an even bet is when the cost is equal to the expected payout. if the expected payout of mega millions is $135,145,920 and the cost is $1 then your expected value is $1 assuming only 1 person wins. since there is a chance of multiple winners the even bet point needs to be adjusted upward by that chance, but it is still there. and it's actually lower than that because there are minor prizes that have a better chance of being won (picking 5 balls and whatnot).
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05262004, 10:37 AM

#24

Diamond Member
Join Date: Sep 2003
Posts: 4,829

RE: Mega Millions, how many combinations
Quote:
Originally posted by: profmath
Quote:
Originally posted by: ElFenix
Quote:
Originally posted by: profmath
The lottery is NEVER and even bet. Odds are always 1 in 135 million

do you know what an even bet is?

Yes an even bet is one that you have a 50% chance of winning.
A bad bet is one that you have less than a 50% chance of winning.....like the lottery or you being right on this.

:Q



05262004, 10:38 AM

#25

No Lifer
Join Date: Sep 2000
Location: Sydney
Posts: 70,214

RE: Mega Millions, how many combinations
Quote:
Originally posted by: profmath
Quote:
Originally posted by: ElFenix
Quote:
Originally posted by: profmath
The lottery is NEVER and even bet. Odds are always 1 in 135 million

do you know what an even bet is?

Yes an even bet is one that you have a 50% chance of winning.
A bad bet is one that you have less than a 50% chance of winning.....like the lottery or you being right on this.

Could it not apply to the situation where a lottery has built up to such a high level that the total winnings will equal the total income from ticket sales, thus meaning that from a grand perspective, it's an even bet? Obviously the lotto company would have reaped huge rewards from all of the unwon games, and never will lose. But, if odds are one in 135 million and the total winnings are now up to 59 trillion dollars, then you could drop a billion on them and that's a damn good investment, so it would be a statistically wise thing to do.
Anyway, I still think that as lottos increase in wealth the number of ticket buyers more than makes up for it, so it's probably a _worse_ idea, from a moneyback standpoint, to wait until the lottos have grown really large.
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