Probability experts..

Probability experts..

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cartel

Original Poster:

259 posts

168 months

Friday 3rd December 2010
quotequote all
Had a bit of a heated debate in the pub this lunchtime

What is more likely...

Picking 2 separate lucky dips and them both being the same or winning the euromillions?



Edited by cartel on Friday 3rd December 19:00

SC7

1,882 posts

183 months

Friday 3rd December 2010
quotequote all
The odds on two lucky dips being the same are exactly the same as picking the numbers that match the balls (14 million to 1?)

Euromillions is 76 million to 1.

cartel

Original Poster:

259 posts

168 months

Friday 3rd December 2010
quotequote all
SC7 said:
The odds on two lucky dips being the same are exactly the same as picking the numbers that match the balls (14 million to 1?)

Euromillions is 76 million to 1.
But my argument was that the odds of randomly choosing two tickets exactly the same are less than wining the lottery because they must have algorithms in their distribution to ensure not many people get the same ticket?

I can not get my head around it being just as likely to have 2 identical lucky dips as winning the lottery. They must be slimmer?

Disclaimer: GCSE level maths only

Urban Sports

11,321 posts

205 months

Friday 3rd December 2010
quotequote all
cartel said:
SC7 said:
The odds on two lucky dips being the same are exactly the same as picking the numbers that match the balls (14 million to 1?)

Euromillions is 76 million to 1.
But my argument was that the odds of randomly choosing two tickets exactly the same are less than wining the lottery because they must have algorithms in their distribution to ensure not many people get the same ticket?

I can not get my head around it being just as likely to have 2 identical lucky dips as winning the lottery. They must be slimmer?

Disclaimer: GCSE level maths only
That's why sometimes more than one ticket wins the jackpot.

smile

SC7

1,882 posts

183 months

Friday 3rd December 2010
quotequote all
Nope, it should be completely random.

If I buy two lucky dips, I'm just as likely to get matching numbers on the second one as I am any other combination of numbers possible.

Urban Sports

11,321 posts

205 months

Friday 3rd December 2010
quotequote all
SC7 said:
Nope, it should be completely random.

If I buy two lucky dips, I'm just as likely to get matching numbers on the second one as I am any other combination of numbers possible.
yes

Some Gump

12,744 posts

188 months

Saturday 4th December 2010
quotequote all
I'm not sure it is.
If you get 2 lucky dips on the same ticket, 3 of the numbers will be the same. Happened to me both times I tried it, so I now get 2 tickets...

SC7

1,882 posts

183 months

Saturday 4th December 2010
quotequote all
Some Gump said:
I'm not sure it is.
If you get 2 lucky dips on the same ticket, 3 of the numbers will be the same. Happened to me both times I tried it, so I now get 2 tickets...
Are you winding me up?

Some Gump

12,744 posts

188 months

Saturday 4th December 2010
quotequote all
No, thats what happens. I don't think lucky dip is entirely rzndom, poss it fills in "unsold" combinations?

zac510

5,546 posts

208 months

Saturday 4th December 2010
quotequote all
Well a computer generated number can never be purely random. It's always derived from something for example a mathematical formula applied to the date and time but even then getting 3 numbers the same across two dips on one ticke everytime is a little bit too common to still be random.

Is there anything in the Lucky Dip small print? A lucky dip at a fair might only have a finite amount of items in it - perhaps the lottery lucky dip is the same!


Brother D

3,773 posts

178 months

Saturday 4th December 2010
quotequote all
I thought the idea of the Lucky Dip was to allocate sets of numbers that had not yet been picked, reducing the chances of prolonged roll-overs. So not a random allocation...

SC7

1,882 posts

183 months

Saturday 4th December 2010
quotequote all
Nope.

COMPLETELY random:

http://www.lottery.co.uk/articles/lottery-lucky-di...

(Or as mentioned above, as random as a computer can be).

Balmoral Green

41,127 posts

250 months

Saturday 4th December 2010
quotequote all
50/50

They will match, or they won't.

Same odds as winning really, you either win, or you don't.

SC7

1,882 posts

183 months

Saturday 4th December 2010
quotequote all
Balmoral Green said:
50/50

They will match, or they won't.

Same odds as winning really, you either win, or you don't.
If only it were that simple.

cartel

Original Poster:

259 posts

168 months

Saturday 4th December 2010
quotequote all
SC7 said:
Nope.

COMPLETELY random:

http://www.lottery.co.uk/articles/lottery-lucky-di...

(Or as mentioned above, as random as a computer can be).
That link is not working

There is no way they are totally random

Put your hand up if you have ever bought 3/4 lucky dips and been pissed off that the same numbers keep cropping up in all of them?

Happens to me all the time

That said, it is a bit of a stupid question because nobody will know how their computer works so can not calculate the probability

hehe one of those silly pubtime discussions

ewenm

28,506 posts

247 months

Saturday 4th December 2010
quotequote all
cartel said:
SC7 said:
Nope.

COMPLETELY random:

http://www.lottery.co.uk/articles/lottery-lucky-di...

(Or as mentioned above, as random as a computer can be).
That link is not working

There is no way they are totally random

Put your hand up if you have ever bought 3/4 lucky dips and been pissed off that the same numbers keep cropping up in all of them?

Happens to me all the time

That said, it is a bit of a stupid question because nobody will know how their computer works so can not calculate the probability

hehe one of those silly pubtime discussions
Buying 3-4 tickets and not having any duplicated numbers would be non-random.

cartel

Original Poster:

259 posts

168 months

Saturday 4th December 2010
quotequote all
ewenm said:
cartel said:
SC7 said:
Nope.

COMPLETELY random:

http://www.lottery.co.uk/articles/lottery-lucky-di...

(Or as mentioned above, as random as a computer can be).
That link is not working

There is no way they are totally random

Put your hand up if you have ever bought 3/4 lucky dips and been pissed off that the same numbers keep cropping up in all of them?

Happens to me all the time

That said, it is a bit of a stupid question because nobody will know how their computer works so can not calculate the probability

hehe one of those silly pubtime discussions
Buying 3-4 tickets and not having any duplicated numbers would be non-random.
What I am saying is that they seem to have the same number as a theme for each purchase. This can not be a coincidence.

For example, I have just bought 5 lucky dips. There are 3 20's. This happens regularly

What are the odds of 3 out of 5 rows consistently having the same number present in each purchase? This happens to such an extent when playing online I normally do no more than 2 lines a purchase.

Definitely not totally random

MrPeters

371 posts

165 months

Saturday 4th December 2010
quotequote all
cartel said:
ewenm said:
cartel said:
SC7 said:
Nope.

COMPLETELY random:

http://www.lottery.co.uk/articles/lottery-lucky-di...

(Or as mentioned above, as random as a computer can be).
That link is not working

There is no way they are totally random

Put your hand up if you have ever bought 3/4 lucky dips and been pissed off that the same numbers keep cropping up in all of them?

Happens to me all the time

That said, it is a bit of a stupid question because nobody will know how their computer works so can not calculate the probability

hehe one of those silly pubtime discussions
Buying 3-4 tickets and not having any duplicated numbers would be non-random.
What I am saying is that they seem to have the same number as a theme for each purchase. This can not be a coincidence.

For example, I have just bought 5 lucky dips. There are 3 20's. This happens regularly

What are the odds of 3 out of 5 rows consistently having the same number present in each purchase? This happens to such an extent when playing online I normally do no more than 2 lines a purchase.

Definitely not totally random
I spend all day selling the damn things, and to be honest, customers who buy 2x lucky dips on one ticket usually get completely different numbers.

hairykrishna

13,220 posts

205 months

Saturday 4th December 2010
quotequote all
cartel said:
What are the odds of 3 out of 5 rows consistently having the same number present in each purchase? This happens to such an extent when playing online I normally do no more than 2 lines a purchase.

Definitely not totally random
Not as remote as you'd think. Think of the number of pairs - google birthday paradox.

Old Gregg

4,442 posts

177 months

Saturday 4th December 2010
quotequote all
Some Gump said:
I'm not sure it is.
If you get 2 lucky dips on the same ticket, 3 of the numbers will be the same. Happened to me both times I tried it, so I now get 2 tickets...
I've read this post several times and i'm still not sure if i'm missing something, but anyway, I bought one ticket today with 4 lines on it and each line is lucky dip.

There isn't a single number that's repeated on the whole ticket. 4 lines, 6 numbers on each line, and they're all different.



edit: and I bought it online.



Edited by Old Gregg on Saturday 4th December 18:27