AlexSXI
Member
Registered: 10th Jan 08
Location: Colchester, Essex
User status: Offline
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No i'm not that retarded, i've never done the lottery so i don't even know how many numbers are in the draw, hence the
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16vKarlos
Member
Registered: 27th Oct 07
User status: Offline
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Right….
Firstly we pick a number between 1 - 49 for just one column
1 x 49 = 49 combinations for just one column
BUT, There are 6 columns
49 x 6 = 294
That’s 294 combinations for just one line
So we have:
294 X 6 = 1764 because there are 6 columns and this is for one line
In which case we will have to Times this number By 49 because of the combinations per line. And you get.
1764 X 49 = 86,436
This could be VERY WRONG I just gave it a go
To have a GARUNTEED win of the Lottery, you would have to have the exact amount
Of tickets, in this case its 83,436
So 86,436 Divided by 2 = 43,218
I divided by two because it’s then £2 a week
52 weeks in a year
43,218 Divided by 52 = 831.115
So that’s basically 832 tickets a week with the same numbers
But then you have only got 832 tickets out of a possible 86,436
NOT A CHANCE REALLY!
Karlos
P.S.
You are more than welcome to correct what I have written.. It will probably be completely wrong
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BarnshaW
Member
Registered: 25th Oct 06
User status: Offline
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thats wrong aswell. the chances of winning euromillions is 1 in 76 million.
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16vKarlos
Member
Registered: 27th Oct 07
User status: Offline
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I was totally wrong.
The Jackpot - 6 Numbers (Typical prize: £2 million)
6 numbers are drawn at random from the set of integers between 1 and 49, which means there are 49!/(6!*(49-6)!) combinations of numbers (the draw order doesn't matter). The means that the jackpot chance is 1 in 13,983,816 or approximately 1 in 14 million.
5 Numbers + Bonus Number (Typical prize: £100,000)
You are still matching 6 numbers from the 1 to 49 set as above, but you can now do it in 6 different ways (by dropping each of the main numbers in turn), therefore the chance is 1 in 13,983,816/6, which works out as 1 in 2,330,636.
5 Numbers (Typical prize: £1,500)
This is 42 times more likely than getting 5 numbers + the bonus number because, after the first six balls are drawn, there are 43 balls left and you can match 42 of these 43 balls without matching the bonus number. Therefore the chance is 1 in 2,330,636/42, which evaluates to 1 in 55,491.33333.
4 Numbers (Typical prize: £65)
Firstly, let's take the case of the first 4 of your numbers matching and the last 2 not matching. In this single case (where each set of chances relies on the previous event occurring):
Chance that your 1st number matches a winning number is 1 in 49/6.
Chance that your 2nd number matches a winning number is 1 in 48/5.
Chance that your 3rd number matches a winning number is 1 in 47/4.
Chance that your 4th number matches a winning number is 1 in 46/3.
Chance that your 5th number doesn't match a winning number is 1 in 45/(45-2) [because there are still 2 unmatched winning numbers].
Chance that your 6th number doesn't match a winning number is 1 in 44/(44-2) [yes, still 2 unmatched winning numbers].
Now you need to accumulate all those chances by multiplying them together:
1 in (49/6)*(48/5)*(47/4)*(46/3)*(45/43)*(44/42) which is 1 in 15486.953. Now this is the chance for that single case occurring, but there are 15 combinations of matching 4 from 6 [6!/(4!*(6-4)!)], so you divide the answer by 15 to get 1 in 15486.953/15 or 1 in 1032.4.
3 Numbers (Constant prize: £10)
Follow exactly the same scheme as the 4 match above to get these figures:
1 in (49/6)*(48/5)*(47/4)*(46/43)*(45/42)*(44/41) (which is 1 in 1133.119) for a single case. There are 20 combinations of 3 from 6 [6!/(3!*(6-3)!], so the chance of a 3 match is 1 in 1133.119/20 or 1 in 56.7.
The chance of you winning any of the above prizes is approximately 54 to 1 - it is reckoned an average of one million people per draw will win a prize.
Using some computer software I wrote, I calculated how many prizes would be won if all combinations of the 13,983,816 tickets were bought:
Category Prizes Chances
Jackpot 1 1 in 13,983,816
5+bonus 6 1 in 2,330,636
5-match 252 1 in 55,491.33
4-match 13,545 1 in 1,032.40
3-match 246,820 1 in 56.66
Total 260,624 1 in 53.66
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BarnshaW
Member
Registered: 25th Oct 06
User status: Offline
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dude, thats the normal lottery, we are talking about euro millions.
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16vKarlos
Member
Registered: 27th Oct 07
User status: Offline
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Sorry....
Blonde moment.. (although im not blonde)
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