Maths challenge
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Welshbeef

Original Poster:

49,633 posts

222 months

Wednesday 6th June 2012
quotequote all
Euro millions lottery question.

You only are allowed to buy one ticket a week there are two situations firstly you choose the same number always the other it's always lucky dip.

Question is how many years would you have to wait to win in each case and clearly therefore which is the best option to win is it marginal or notable ?

Also given the above is it better to do the uk lotto with this or the euro lottery ? Again all with the aim of winning the big jackpot

hornetrider

63,161 posts

229 months

Wednesday 6th June 2012
quotequote all
Save your money beefy, you ain't ever winning either.

ewenm

28,506 posts

269 months

Wednesday 6th June 2012
quotequote all
No difference in the odds/time/etc whether you choose the same numbers every week or lucky dip. Each draw is independent of past (and future) draws.

Best way to win the big jackpot is to wait for a multiple rollover and then buy one of each possible combination of numbers and hope no-one else wins too. Waiting for the big rollover means that the jackpot is much higher than the total cost of all the tickets, but if someone else wins too your winnings are halved (etc for more winners), which can quickly take you from profit into loss.

Edited by ewenm on Wednesday 6th June 20:15

bungle

1,874 posts

264 months

Wednesday 6th June 2012
quotequote all
Given that the numbers are randomly selected it makes absolutely no difference which one you do.

Chrisw666

22,655 posts

223 months

Wednesday 6th June 2012
quotequote all
The way you select your numbers has no bearing on the odds.

Just under 14,000,000/1 in the normal lotto and 116,500,000/1 of winning the Euros.

There is as much chance of you winning either by picking the same numbers everytime as there is by picking a lucky dip. Buying more tickets narrows the odds but the risk of 1,000,000 other people sharing your jackpot would always exist.

SturdyHSV

10,371 posts

191 months

Wednesday 6th June 2012
quotequote all
Welshbeef said:
Euro millions lottery question.

You only are allowed to buy one ticket a week there are two situations firstly you choose the same number always the other it's always lucky dip.
Always lucky dip it. Why? Because if you always do the same numbers, and you forget to buy it one week, and they come up, you'll go insane.

Lucky dip or same numbers are equally likely with every draw, nothing changes.

175gt

337 posts

187 months

Wednesday 6th June 2012
quotequote all
Multiple independent events, so equal chance of any series of numbers appearing on each occasion, so makes no difference if set or random numbers chosen each time.

Welshbeef

Original Poster:

49,633 posts

222 months

Wednesday 6th June 2012
quotequote all
Chrisw666 said:
The way you select your numbers has no bearing on the odds.

Just under 14,000,000/1 in the normal lotto and 116,500,000/1 of winning the Euros.

There is as much chance of you winning either by picking the same numbers everytime as there is by picking a lucky dip. Buying more tickets narrows the odds but the risk of 1,000,000 other people sharing your jackpot would always exist.
Isn't both games choose five numbers and the bonus ball? If so why are the odds different?

fandango_c

1,986 posts

210 months

Wednesday 6th June 2012
quotequote all
Welshbeef said:
Isn't both games choose five numbers and the bonus ball? If so why are the odds different?
No, the games are different.

ewenm

28,506 posts

269 months

Wednesday 6th June 2012
quotequote all
No idea on the rules of each lottery but how many numbers you can choose from will make a big difference to the odds of winning.

fandango_c

1,986 posts

210 months

Wednesday 6th June 2012
quotequote all
175gt said:
Multiple independent events, so equal chance of any series of numbers appearing on each occasion, so makes no difference if set or random numbers chosen each time.
Choosing a set of numbers of going for a lucky dip makes no difference to the probability of a win, but may effect the expected amount that you win.

cay

372 posts

180 months

Wednesday 6th June 2012
quotequote all
Euro is 5 + 2 bonus balls IIRC, hence the odds are worse.

I remember buying a ticket with 1,2,3,4,5,6 and trying to convince my Dad the odds were the same as any other numbers. He simply would not believe that the sequence could ever come up and thought I would have much better odds choosing random numbers!

Human nature makes the sequence seem significant I guess!

175gt

337 posts

187 months

Wednesday 6th June 2012
quotequote all
fandango_c said:
Choosing a set of numbers of going for a lucky dip makes no difference to the probability of a win, but may effect the expected amount that you win.
How so?

ewenm

28,506 posts

269 months

Wednesday 6th June 2012
quotequote all
175gt said:
fandango_c said:
Choosing a set of numbers of going for a lucky dip makes no difference to the probability of a win, but may effect the expected amount that you win.
How so?
People tend to choose birthdays in their numbers so you're more likely to share winnings if your chosen numbers do come up.

Welshbeef

Original Poster:

49,633 posts

222 months

Wednesday 6th June 2012
quotequote all
The balls with two digits weigh marginally more than single digit

Have we had any sequences yet? It's been what 18 years since lotto started.

ewenm

28,506 posts

269 months

Wednesday 6th June 2012
quotequote all
Welshbeef said:
The balls with two digits weigh marginally more than single digit
Do they? Source?

Welshbeef said:
Have we had any sequences yet? It's been what 18 years since lotto started.
No idea, there's almost certainly a stats website for it all somewhere.

TheTurbonator

2,792 posts

175 months

Wednesday 6th June 2012
quotequote all
cay said:
Euro is 5 + 2 bonus balls IIRC, hence the odds are worse.

I remember buying a ticket with 1,2,3,4,5,6 and trying to convince my Dad the odds were the same as any other numbers. He simply would not believe that the sequence could ever come up and thought I would have much better odds choosing random numbers!

Human nature makes the sequence seem significant I guess!
Apparantly tens of thousands of people play those numbers every week and because so many do if the numbers came up the jackpot would be tiny after being divided so many ways.

fandango_c

1,986 posts

210 months

Wednesday 6th June 2012
quotequote all
Welshbeef said:
The balls with two digits weigh marginally more than single digit
Why? And how would that affect the probability of one ball being drawn over another?

Does 11 weigh more than 8?

McSam

6,753 posts

199 months

Wednesday 6th June 2012
quotequote all
ewenm said:
Welshbeef said:
The balls with two digits weigh marginally more than single digit
Do they? Source?
Nah, 'course they don't.

I'll echo what's already been said about the selection method making no difference, but avoiding common sequences helping the amount you'd actually win. And also that, quite obviously, any ticket-buying scheme or syndicate is heavily odds-on to waste a lot of money!

Welshbeef

Original Poster:

49,633 posts

222 months

Wednesday 6th June 2012
quotequote all
fandango_c said:
Welshbeef said:
The balls with two digits weigh marginally more than single digit
Why?

Does 11 weigh more than 8?
How about 48? Over 1-9?
We're talking minuscule differences but I'd be interested to see if lotto in 18 years has fewer single digits instead of the other three ranges of 10-19,20-29,30-39,40-49