30 Jan '06 20:23>
If you wanted to definitely win at least £10 in the uk national lottery (lotto), how many tickets would you have to buy?
Originally posted by iamatigerWell you need 3 numbers and 7 balls are drawn. There are 49 balls. Those are the basic figures. There is a 1: 57 chance of winning a tenner with one ticket. I'm not sure of the best way to work out to "definitely win at least £10"
If you wanted to definitely win at least £10 in the uk national lottery (lotto), how many tickets would you have to buy?
Originally posted by iamatigerThere was a lottery in Virginia a few years ago where a company
If you wanted to definitely win at least £10 in the uk national lottery (lotto), how many tickets would you have to buy?
Originally posted by Will EverittSo if each ticket cost one pound, then you would spend
Well you need 3 numbers and 7 balls are drawn. There are 49 balls. Those are the basic figures. There is a 1: 57 chance of winning a tenner with one ticket. I'm not sure of the best way to work out to "definitely win at least £10"
Originally posted by iamatigerIf you really mean definitely and not only with high probability? The answer will then be - "A lot!"
If you wanted to definitely win at least £10 in the uk national lottery (lotto), how many tickets would you have to buy?
Originally posted by sonhouseWith 49 numbers from which 7 are drawn* there are 8.59 million combinations. Your story sounds like a load of crap.
There was a lottery in Virginia a few years ago where a company
got together and bought all the available numbers and it was
a very harrowing experience, thousands of people buying
thousands of numbers and they finally bought out all the numbers
like maybe an hour before drawing time. They definitely won but
it wasn't like ten to one or anything, MAY ousand back. It only works if you buy
every single combination, millions of separate numbers.
Originally posted by rlg195I've posted what I believe to be the correct answer in this thread already including my logic. If you are going to claim that I'm wrong at least attempt to say where. Or, if you have the list you claim to have then post it so I can find a 3 ball combination you don't account for.
163 tickets is require to guarantee a 3 ball win.
If anyone wants a copy of the numbers required send me you E-mail address and I'll send it through.
Ofcourse 3 balls is guaranteed plus you have way over 163 tickets that could win you other prizes........
www.bigdigitalphotography.co.uk
Originally posted by XanthosNZYour reasoning sounds correct, but I think some of the numbers are a bit off. There are 18424 combinations of 3 numbers (49 choose 3), so in order to cover all of them you would need 18424/35 = 526.4, or 527 tickets (rounding up).
With 49 numbers from which 7 are drawn* there are 8.59 million combinations. Your story sounds like a load of crap.
*I'm taking the numbers from Will's definition of the UK lotto but the Virginia lotto may be different, for example in NZ the lotto is 6 numbers from 40 (a bonus ball which counts for lower divisions is included) which is 3.83 million com ...[text shortened]... *4!]). Therefore you need 3159 lines (rounding up obviously) to ensure you will win the prize.
Originally posted by PBE6You are right, when calculating combinations you need to account for I forgot to divide by r!*(n-r)! (basically I forgot that order does not matter).
Your reasoning sounds correct, but I think some of the numbers are a bit off. There are 18424 combinations of 3 numbers (49 choose 3), so in order to cover all of them you would need 18424/35 = 526.4, or 527 tickets (rounding up).
Originally posted by rlg195I tried a bunch of numbers with MS Excel's help, and I couldn't find any that didn't give at least a 3 number match with this list. I have to admit, it seems like a pretty clever and compact number distribution. I think it solves the problem neatly. Hey XanthosNZ, did you bust this thing or is it legit?
163 lines ;
Ticket 1 : 1 2 3 4 5 10
Ticket 2 : 1 2 9 10 11 26
Ticket 3 : 1 2 9 10 14 23
Ticket 4 : 1 2 10 12 16 20
Ticket 5 : 1 3 14 20 23 26
Ticket 6 : 1 4 9 12 15 27
Ticket 7 : 1 4 12 14 18 23
Ticket 8 : 1 5 11 14 16 27
Ticket 9 : 1 5 11 15 16 23
Ticket 10 : 1 6 7 10 18 19
Ticket 11 : 1 6 8 17 2 ...[text shortened]...
Ticket 161 : 37 38 42 43 45 47
Ticket 162 : 39 40 41 44 45 47
Ticket 163 : 39 40 42 43 46 48
Originally posted by PBE6How come there are only 6 numbers per line? Aren't we drawing 7 numbers and hoping to match our 3 or something?
I tried a bunch of numbers with MS Excel's help, and I couldn't find any that didn't give at least a 3 number match with this list. I have to admit, it seems like a pretty clever and compact number distribution. I think it solves the problem neatly. Hey XanthosNZ, did you bust this thing or is it legit?