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Lottery mathematics

Topic closed. 6 replies. Last post 9 years ago by Just6ntlc.

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MD
United States
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June 18, 2003
8359 Posts
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 Posted: July 18, 2007, 8:58 pm - IP Logged

i found this the other day. it's way over my head.

This article discusses the way to calculate various probabilities in a lottery game in which one selects 6 numbers from 49, and hopes that as many of those 6 as possible match the 6 that are randomly selected from the same pool of 49 numbers in the "draw".

United States
Member #4877
May 30, 2004
5114 Posts
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 Posted: July 18, 2007, 9:05 pm - IP Logged

i found this the other day. it's way over my head.

This article discusses the way to calculate various probabilities in a lottery game in which one selects 6 numbers from 49, and hopes that as many of those 6 as possible match the 6 that are randomly selected from the same pool of 49 numbers in the "draw".

Good>>>>OBSERE!

THHANK\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$

FOR>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

UR  >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>HELP\$\$\$\$\$

LOL

PSYKOMO

CA
United States
Member #2987
December 10, 2003
832 Posts
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 Posted: July 19, 2007, 2:47 am - IP Logged

Somehow this link got deleted from my math page. It gives the formulas, possibilities and odds for all hits in all possible lottery matrices from 2/2 to 7/100. There are two charts - scroll down on the page to view the chart for bonus ball lotteries.

http://www.johnph77.com/math/lo.html

Non-commercial, no ads, nothing to sell, for informational purposes only.

gl

j

Blessed Saint Leibowitz, keep 'em dreamin' down there.....

Next week's convention for Psychics and Prognosticators has been cancelled due to unforeseen circumstances.

=^.^=

United States
Member #16612
June 2, 2005
3493 Posts
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 Posted: July 19, 2007, 1:55 pm - IP Logged

I have some questions. What are the odds of having a Mega Millions draw (5/56+1/46) become a California Super Lotto Plus Pick (5/47+1/27)? What are the odds of having a Powerball draw (5/55+1/42) become a California Super Lotto Plus Pick (5/47+1/27)? I need to know the exact percentage of a MM and PB draw to become a CA SLP pick.

CA
United States
Member #2987
December 10, 2003
832 Posts
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 Posted: July 19, 2007, 11:33 pm - IP Logged

I have some questions. What are the odds of having a Mega Millions draw (5/56+1/46) become a California Super Lotto Plus Pick (5/47+1/27)? What are the odds of having a Powerball draw (5/55+1/42) become a California Super Lotto Plus Pick (5/47+1/27)? I need to know the exact percentage of a MM and PB draw to become a CA SLP pick.

There are 175,711,536 possible combinations in MegaMillions.
There are 146,107,962 possible combinations in PowerBall.
There are 41,416,353 possible combinations in CA SuperLottoPlus, and all possible combinations in that lottery can also fall in both MegaMillions and PowerBall.

Therefore:

23.57% of MegaMillions combinations are possible within CA SLP, with odds of 1::4.24 of that occurance.
28.34% of PowerBall combinations are possible within CA SLP, with odds of 1::3.52 of that occurance.

gl

j

Blessed Saint Leibowitz, keep 'em dreamin' down there.....

Next week's convention for Psychics and Prognosticators has been cancelled due to unforeseen circumstances.

=^.^=

mid-Ohio
United States
Member #9
March 24, 2001
19816 Posts
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 Posted: July 24, 2007, 5:41 pm - IP Logged

i found this the other day. it's way over my head.

This article discusses the way to calculate various probabilities in a lottery game in which one selects 6 numbers from 49, and hopes that as many of those 6 as possible match the 6 that are randomly selected from the same pool of 49 numbers in the "draw".

Sometimes if you want to understand how statistic works you've got to read stuff that's over your head but if you do enough research you will finally understand it.  When I wrote a program calculated odd both the regular and keno way to learn both.

combination size    3-20    6
basic number pool  to 80    49
(B) bonus numbers?  (n/y)    none
smallest match            0
number of chances per play  1
possible combos of 6 with 49 numbers are 13983816
MATCH  GAME ODDS            HITS/1 CHANCES      WINNING COMBOS
6/6  1 : 13983816                0                      1
5/6  1 : 54201                      0                      258
4/6  1 : 1032                      0                        13545
3/6  1 : 57                         0                        246820
2/6  1 : 8                          0                        1851150
1/6  1 : 2                          0                        5775588
0/6  1 : 2                          0                      6096454
______________________________________________________________________________
overall odds are 1 : 1        expect 1 prizes with 1 chance
total combos 13983816    winning combos 13983816 = 100 %

KENO
total numbers pool  20-80       49
numbers drawn        5-20       6
ticket spots             3-20      6
minimum catch            0
IS THE ABOVE CORRECT? Y/N    YES  C(6,49) = 13983816

CATCH  COMBOS OF 0-6 FROM 6of49 NUMBERS        ODDS
6    1                                                  1 : 13983816
5    258                                                1 : 54201
4    13545                                              1 : 1032
3    246820                                            1 : 57
2    1851150                                            1 : 8
1    5775588                                            1 : 2
0    6096454                                            1 : 2

* you don't need to buy more tickets, just buy a winning ticket *

United States
Member #16612
June 2, 2005
3493 Posts
Offline
 Posted: August 8, 2007, 2:39 pm - IP Logged

There are 175,711,536 possible combinations in MegaMillions.
There are 146,107,962 possible combinations in PowerBall.
There are 41,416,353 possible combinations in CA SuperLottoPlus, and all possible combinations in that lottery can also fall in both MegaMillions and PowerBall.

Therefore:

23.57% of MegaMillions combinations are possible within CA SLP, with odds of 1::4.24 of that occurance.
28.34% of PowerBall combinations are possible within CA SLP, with odds of 1::3.52 of that occurance.

gl

j

Thanks for giving me the possible information! That way, I can make my own Super Lotto Plus picks if any Mega Millions or Powerball draw does fit into the 5/47+1/27 combination.

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