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A big drum, containing 34 numbered balls, starts to rotate and releases randomly and one by one seven of the balls. All of it very fancy to watch. These balls are marked with the winning numbers. Next, two additional balls are drawn, containing the winning extensions. Now the exciting moment has come, compare these numbers with the numbers you have ticked off. Got all seven numbers right in one row?

definition:Comb(n,k) = (n!)/(k!*(n-k)!)

If a set contains n elements, then there exist Comb(n,k) combinations (subset) containing k elements...from the book 'Probability and Statistics for the engineering, computing and Physical Science' by Edward R. Dougherty, 1990, page 40

! mean faculty: n! = n*(n-1)*(n-2)* ...*3*2*1

ex:Comb(5,2) = (5*4*3*2*1)/(2*1*(3*2*1)) = 120/12 = 10

**(7+0)**Your 7 numbers matches GO 7 main numbers

To answer this we must find out how many combinations you can draw 7 number out of 34

comb(34,7) = 34!/[7!*(34-7)!] = 5 379 616

You can chose to play between 5 379 616 different combinations.

Pobability(7+0) = favorable/possible = 1/5 379 616 = 0.0000001858868

You have 0.0000186 % chance of draw 7 out of the 7 main number

**(6+1)**favorable = comb(7,6)*comb(2,1) = 7*2=14

possible = comb(34,7) = 5 379 616

Pobability(6+1) = favorable/possible = 14/5 379 616 = 0.0000026024

You have 0.00026 % chance of draw 6 out of 7 main number and 1 out of 2 extra number

**(6+0)**favorable = comb(7,6)*comb(34-7-2,1) = 7*25 = 175

Pobability(6+0) = favorable/possible = 175/5 379 616 = 0.00003253

You have 0.0033 % chance of draw 6 out of 7 main number.

**(5+0) and (5+1) and (5+2)**favorable = comb(7,5)*[comb(35-7-2,2)*comb(2,0)+comb(35-7-2,1)*comb(2,1)+comb(34-7-2,0)*comb(2,2)]

= comb(7,5)*comb(27,2) = 7371Pobability(5+0,5+1,5+2) = favorable/possible = 7371/5 379 616 = 0.001370

You have 0.137 % chance of draw 5 out of 7 main number and 0,1 or 2 extra numbers

**(4+1) and (4+2)**favorable = comb(7,4)*[comb(2,1)*comb(25,2)+comb(2,2)*comb(25,1)] = 35(2*300+1*25) = 21875

Pobability(4+1,4+2) = favorable/possible = 21875/5 379 616 = 0.004066

You have 0.4066 % chance of draw 4 out of 7 main number, and

[ProbabilityOf.com] | [Lotto probabilities] | [Poker probabilities] | [DOOM] | [Easter Dates] | [Einstein Quiz] | [Escape Game] | [Excel] | [ISO 8601] | [ISO Clock] | [IQ Tests] | [Symmetrical Democracy] | [The Toilet Paper Roll Poll] | [Women=Problems] | [WRC]If you are interested in playing poker on the internet, I recomend Everest Poker. By signing up with Everest Poker you get an USD 100 welcome bonus. I highly recommends this site where there is an excellent selection of tables and an unusually high proportion of fish (weak players)!

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