If you have a new account but are having problems posting or verifying your account, please email us on hello@boards.ie for help. Thanks :)

Hello all! Please ensure that you are posting a new thread or question in the appropriate forum. The Feedback forum is overwhelmed with questions that are having to be moved elsewhere. If you need help to verify your account contact hello@boards.ie

Hi all! We have been experiencing an issue on site where threads have been missing the latest postings. The platform host Vanilla are working on this issue. A workaround that has been used by some is to navigate back from 1 to 10+ pages to re-sync the thread and this will then show the latest posts. Thanks, Mike.

Hi there,
There is an issue with role permissions that is being worked on at the moment.
If you are having trouble with access or permissions on regional forums please post here to get access: https://www.boards.ie/discussion/2058365403/you-do-not-have-permission-for-that#latest

Maths question

Gus Ivey · 2009-10-23 09:15:34

Ok, I know this is the chess section but hopefully someone can answer my question or a Mod can move this to the appropriate thread. So the question is about the lotto. We were talkin about the new "All or nothing" Lotto draw where there are 24numbers to pick from, and you pick any 12 numbers. The idea is to either get…

23-10-2009 10:15am

#1

Gus Ivey

Registered Users, Registered Users 2 Posts: 635 ✭✭✭

Join Date: January 2007

Posts: 566

Ok, I know this is the chess section but hopefully someone can answer my question or a Mod can move this to the appropriate thread.

So the question is about the lotto.

We were talkin about the new "All or nothing" Lotto draw where there are 24numbers to pick from, and you pick any 12 numbers. The idea is to either get 12numbers, or get 0 numbers - both being the jackpot.

Someone said that this is harder to win than the ordinary lotto which has (correct me if im wrong) 46 numbers and you have to get 6 numbers.

So the chances of rinning the lotto jackpot is 46 x 45 x 44 x 43 x 42 x 41 (is this correct ?

so can anybody clear up for me which draw is harder to win...

Thanks !

0

Comments

#2 23-10-2009 10:29am

amacachi

Closed Accounts Posts: 23,316 ✭✭✭✭

Join Date: December 2004

Posts: 22918

The probability of winning the Lotto is 1/(45*44*43*42*41*41/6*5*4*3*2*1) while the all or nothing is 2/(24*23*22*21*20*19*18*17*16*15*14*13/12*11*10*9*8*7*6*5*4*3*2*1) which is a few orders of magnitude less likely according to Excel, which I think is wrong, no calculator handy. But there's the numbers anyway if you feel like working it out.

I know the lotto is a little worse than 8million-1 to win, I'm getting 1.4trillion-1 for all or nothing which I admit feels a little long. :pac:.

Also here would've been a better place for this thread.
http://boards.ie/vbulletin/forumdisplay.php?f=380

0
#3 29-10-2009 8:55am

Pherekydes

Registered Users, Registered Users 2 Posts: 16,190 ✭✭✭✭

Join Date: May 2003

Posts: 15957

amacachi wrote: »

The probability of winning the Lotto is 1/(45*44*43*42*41*41/6*5*4*3*2*1) while the all or nothing is 2/(24*23*22*21*20*19*18*17*16*15*14*13/12*11*10*9*8*7*6*5*4*3*2*1) which is a few orders of magnitude less likely according to Excel, which I think is wrong, no calculator handy. But there's the numbers anyway if you feel like working it out.

I know the lotto is a little worse than 8million-1 to win, I'm getting 1.4trillion-1 for all or nothing which I admit feels a little long. :pac:.

You need to put brackets around your denominator, the 12!. That's why you're getting 1.4 trillion to one. The ordinary lotto is (45C6)/2, while the all-or-nothing is (24C12)/2. There's no need to type out 24*23*22... You can use a function excel has called combin.

The answers are 4072530 and 1352078, respectively, so the odds on winning the all-or-nothing jackpot are 3 times more likely.

0
#4 03-11-2009 4:05pm

komodosp

Registered Users, Registered Users 2 Posts: 1,657 ✭✭✭

Join Date: December 2006

Posts: 1435

Why is the ordinary lotto 45C6 /2 and not 45C6?

0
#5 04-11-2009 2:44pm

Pherekydes

Registered Users, Registered Users 2 Posts: 16,190 ✭✭✭✭

Join Date: May 2003

Posts: 15957

komodosp wrote: »

Why is the ordinary lotto 45C6 /2 and not 45C6?

You have to buy at least 2 panels.

P.S. I'm making a fairly basic assumption that they are going to be two different combos.

P.S.S. With the all-or-nothing, you can buy one panel.

0
#6 31-12-2009 7:59pm

KillaNinja

Closed Accounts Posts: 7 ✭

Join Date: December 2009

Posts: 7

its a one in 1.35 million chance of winning

2 times (12!/24P12)

simply as

0
Advertisement