Euromillions statistics

Internet Junkie · #1 Dec 31, 2007, 12:32 AM

How do you calculate the probability of winning the Euromillions?

Curlyben · Dec 31, 2007, 12:37 AM

Try this: Euromillions, Euromillónes, Euromilhoes: Software, Strategy, Systems, Odds

Good piece on Wiki too: EuroMillions - Wikipedia, the free encyclopedia

iAMfromHuntersBar · Dec 31, 2007, 03:19 AM

I love the fact that bookies are willing to give better odds of Elvis crash landing in a UFO on top of the Loch Ness Monster than you winning the Euromillions! Ha ha!

Also, quite like the graphic at the bottom of that story!

statspro · Jan 24, 2008, 02:05 AM

The euro millions probability has to be calculated in two parts, firstly the probability of getting 5 balls out of 50. Order doesnt matter so:
P(A) = 50!/5!(50-5)! = 2,118,760
Then we need to calculate the probability of getting the 2 balls out of 9 so:
P(B) 9!/2!(9-2)! = 36
Because the two are independent we need to multiply them together so:
P(A) * P(B) = P(A&B)
2,118,760 * 36 = 76,275,360
Therefore the chances of winning the euromillions is 1 in 76,275,360

Internet Junkie · Jan 26, 2008, 02:52 AM

Thank you, I learned this in school but had forgotten how to use probabilities formulas.

Ion Saliu · Feb 9, 2008, 10:00 AM

The lotto games are covered by the numerical sets named COMBINATIONS. The sets and combinations are very well covered at my website, including unique software:

Combinatorics, Permutations

The fundamental formulas of probability are presented here:

Probability Theory

The most comprehensive formula to calculate the probability (or odds) of lotto games is known as hypergeometric distribution probability. It covers multiple prizes, not only the jackpot (the first prize in a lotto game).

Here is a text format of the hypergeometric formula for the case ‘m of k in s from n’:

Code:

                                C(n, k)

P(m of k in s from n) = ---------------------------- 

                            C(s, m) * C(n-s, k-m)

An example: ‘4 of 6 in 12 from 49’. You want to know the odds of winning 4 numbers of the 6 drawn by the lottery in a 49-number game. S=12 is a pool of numbers; e.g. you play a system or lotto wheel which comprises 12 numbers. The default for s is 6 for lotto 6 games. It is the general case when you don’t play lotto wheels or pools of numbers.

C() represents the formula of combinations:

Code:

             n*(n-1)*(n-2)*(n-3)*...(n-k+1)

C(n, k) = ------------------------------------- 

                       1*2*3*...k

For k=6 and n=49 (the most common lotto game), the formula reads:

C(49, 6) = [49 * 48 * 47 * 46 * 45 * 44] / [1 * 2 * 3 * 4 * 5 * 6]

Euromillions (like the Powerball) is a two-in-one lotto game. You calculate first the odds for the first part (game): the 5 regular numbers. Then, you calculate for the second part: The Star numbers. Finally, you multiply the two results and get the final odds for Euromillions.

I wrote the most comprehensive software for calculating odds and probability and also analyze combinations and lexicographical order. The main software titles:

OddsCalc.EXE
PermuteCombine.EXE
LexicographicSets.EXE

A different member (Curlyben) already pointed to my web page that deals specifically with the game of Euromillions. The page also runs two (free) ActiveX controls that calculate the odds and also generate Euromillions combinations (1000 at a time).

Best of luck!
Parpaluck,
EuroAmerican At-Large

iAMfromHuntersBar · Feb 9, 2008, 07:22 PM

Quote:

Originally Posted by Ion Saliu

disagrees: Mockery has never solved problems or challenges.

Who was I mocking?

I'm sorry if my little interjecture of fun somehow offended your awesome website!

Some people need to grow a sense of humour!

Anyone else fancy chucking some reds my way, I seem to be on a roll at the minute!



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