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odds against wining the lottery
#1
odds against wining the lottery
I played the lottery again yesterday in the uk and didn't win millions, surprise surprise.
They say the odds are 14 million to 1 against winning the big prize.
To win that, your 6 numbers have to pop out of the machine and you alone must have them to win the pot.
My question, which I hope some of you people good at maths/statistics may be able to answer is this:-

Does every attempt have the same chance of winning, i.e. 14 million to 1
I ask because I think the answer is " yes "
BUT if I pick 6 consecutive numbers, let's say 12,13,14,15,16 and 17 as my attempt, I just feel that it is more unlikely than picking non-consecutive numbers.
HuhA man is born to a virgin mother, lives, dies, comes alive again and then disappears into the clouds to become his Dad. How likely is that?
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#2
RE: odds against wining the lottery
It's no more unlikely, even though we are pre-disposed to thinking it is. The odds of being dealt 4 Aces in a game of cards are the same as being dealt any variation of 4 cards.
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#3
RE: odds against wining the lottery
(March 29, 2009 at 3:14 pm)Tiberius Wrote: It's no more unlikely, even though we are pre-disposed to thinking it is. The odds of being dealt 4 Aces in a game of cards are the same as being dealt any variation of 4 cards.

Do you play the lottery, Adrian?
If you do, I BET you don't pick a consecutive sequence.
HuhA man is born to a virgin mother, lives, dies, comes alive again and then disappears into the clouds to become his Dad. How likely is that?
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#4
RE: odds against wining the lottery
No I don't, but when I did I picked non-consecutive numbers, mainly because I simply liked the numbers or they were relevant to me. Like I said, people are pre-disposed to certain things, and we tend to think (wrongly) that some number sequences are less likely than others. Putting it like this though, it makes you think: A consecutive sequence is only meaningful to us because we put meaning to the numbers, and that meaning is order. A random lottery machine knows nothing about the numbers (it has no idea there are even numbers on the balls) and it has no pre-disposition. If it were to think, it wouldn't put any difference between the numbers 1,2,3,4 and the numbers 23,4,8,17.
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#5
RE: odds against wining the lottery
I just noticed your quote Adrian - classic Big Grin
"I think that God in creating Man somewhat overestimated his ability." Oscar Wilde
My Blog | Why I Don't Believe in God
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#6
RE: odds against wining the lottery
I agree. Excellent.

And off at another tangent - Adrian - I love poker btw Big Grin

But I only play/played Texas Hold 'Em. I find all other kinds of poker to be inferior...INFERIOR Big GrinEVIL:

EvF
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#7
RE: odds against wining the lottery
I like Omaha just as much as Texas Hold 'em really.
Best regards,
Leo van Miert
Horsepower is how hard you hit the wall --Torque is how far you take the wall with you
Pastafarian
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#8
RE: odds against wining the lottery
The reason consecutive number seem less likely is that there are WAAAAY more combinations of non-consecutive numbers than consecutive ones. There are 49x48x47x46x45x44 different combinations of numbers ~ 10000000000

of which only 44 are sets of consecutive numbers (1,2,3,4,5,6......44,45,46,47,48,49)

EvF, you speak the truth, hold 'em is fun Big Grin
Galileo was a man of science oppressed by the irrational and superstitious. Today, he is used by the irrational and superstitious who claim they are being oppressed by science - Mark Crislip
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#9
RE: odds against wining the lottery
(March 29, 2009 at 9:03 pm)Tiberius Wrote: No I don't, but when I did I picked non-consecutive numbers, mainly because I simply liked the numbers or they were relevant to me. Like I said, people are pre-disposed to certain things, and we tend to think (wrongly) that some number sequences are less likely than others. Putting it like this though, it makes you think: A consecutive sequence is only meaningful to us because we put meaning to the numbers, and that meaning is order. A random lottery machine knows nothing about the numbers (it has no idea there are even numbers on the balls) and it has no pre-disposition. If it were to think, it wouldn't put any difference between the numbers 1,2,3,4 and the numbers 23,4,8,17.

The fact that the machine just picks balls is why I think the odds are the same for any 6 numbers selected.
BUT, does probability enter the equation i.e. it sounds more improbable that a consecutive sequence will pop up?
As far as I know, such a sequence has never popped up.
HuhA man is born to a virgin mother, lives, dies, comes alive again and then disappears into the clouds to become his Dad. How likely is that?
Reply
#10
RE: odds against wining the lottery
(March 30, 2009 at 3:42 pm)bozo Wrote: it sounds more improbable that a consecutive sequence will pop up?
As far as I know, such a sequence has never popped up.

It's because there are far more combinations of non-consecutive numbers than consecutive ones
Galileo was a man of science oppressed by the irrational and superstitious. Today, he is used by the irrational and superstitious who claim they are being oppressed by science - Mark Crislip
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