need help for formula for odds to win 3+1 in loto 6/37Prev TopicNext Topic

• gokiloto

  

  Macedonia, The Former Yugoslav Republic of
  Member #119,128
  November 15, 2011
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  Nov 15, 2011, 6:20 pm

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  Hi,

   

  i need help to calculate odds for win 3+1 in loto 6/37 (how many winners there are) , if someone coold help me

   

  thx
• winsumloosesum

  

  Philadelpia/Pennsylvania
  United States
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  September 1, 2003
  6,802 Posts
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  Nov 15, 2011, 9:41 pm

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  In response to gokiloto

  Quote: Originally posted by gokiloto on Nov 15, 2011

  Hi,

   

  i need help to calculate odds for win 3+1 in loto 6/37 (how many winners there are) , if someone coold help me

   

  thx

  Is the +1 number taken from the remaining numbers of 37 or another pool of numbers?
• winsumloosesum

  

  Philadelpia/Pennsylvania
  United States
  Member #2,218
  September 1, 2003
  6,802 Posts
  Online
  Nov 15, 2011, 10:13 pm

  ▲▼

  Here is a download link to an Excel file with the calculations for 6/37 game:

  http://www.box.net/s/eci897isfo26qt08afg0

   

  To calculate the lottery odds of hitting 3 of 6 in a 6/37 game.
  
  The 6-number winning combination can be broken in =COMBIN(6,3) = 20 groups of 3 numbers each.
  
  Each 3-number group can be combined with 3 numbers from the rest of the field:
  
  37 – 6 = 31.
  
  =COMBIN(31,3) = 4,495.
  
  There is a total of 31 x 4,495 = 89,900 lottery combinations.
  
  Therefore 1 winning 6-number combination offers 89,900 chances of 3of6.
  
  Therefore, the probability of hitting 3 of 6 is calculated by dividing total possible combinations =COMBIN(37,6) (2,324,784) by total chances of 3of6 (89,900).
  
  
  2,324,784 / 89,900 = 25.9 to 1 or 1 in 25.9.
• RJOh

  

  100

  mid-Ohio
  United States
  Member #9
  March 24, 2001
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  Nov 15, 2011, 11:50 pm

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  In response to gokiloto

  Quote: Originally posted by gokiloto on Nov 15, 2011

  Hi,

   

  i need help to calculate odds for win 3+1 in loto 6/37 (how many winners there are) , if someone coold help me

   

  thx

   possi1le com1os of 6/37 num1ers = 2324784
   MATCHES     ODDS                WINNING COM1OS
    6/6      1 : 2324784            1
    5/6      1 : 12499              186
    4/6      1 : 333                6975
    3/6      1 : 26                 89900
    2/6      1 : 5                  471975
   _______________________________________________

   

   possi1le com1os of 6/37 num1ers = 2324784
   MATCHES     ODDS                WINNING COM1OS
    6/6      1 : 2324784            1
    5/6+1    1 : 387464             6
    5/6      1 : 12915              180
    4/6+1    1 : 5166               450
    4/6      1 : 356                6525
    3/6+1    1 : 267                8700
    3/6      1 : 29                 81200
    2/6+1    1 : 38                 60900
    2/6      1 : 6                  411075
   ________________________________________________

   * you don't need to buy every combination, just the winning ones * 

         
  
• winsumloosesum

  

  Philadelpia/Pennsylvania
  United States
  Member #2,218
  September 1, 2003
  6,802 Posts
  Online
  Nov 15, 2011, 11:57 pm

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  In response to RJOh

  Quote: Originally posted by RJOh on Nov 15, 2011

   possi1le com1os of 6/37 num1ers = 2324784
   MATCHES     ODDS                WINNING COM1OS
    6/6      1 : 2324784            1
    5/6      1 : 12499              186
    4/6      1 : 333                6975
    3/6      1 : 26                 89900
    2/6      1 : 5                  471975
   _______________________________________________

   

   possi1le com1os of 6/37 num1ers = 2324784
   MATCHES     ODDS                WINNING COM1OS
    6/6      1 : 2324784            1
    5/6+1    1 : 387464             6
    5/6      1 : 12915              180
    4/6+1    1 : 5166               450
    4/6      1 : 356                6525
    3/6+1    1 : 267                8700
    3/6      1 : 29                 81200
    2/6+1    1 : 38                 60900
    2/6      1 : 6                  411075
   ________________________________________________

  RJOH,

  What program are you using to calculate the bonus numbers?
• RJOh

  

  100

  mid-Ohio
  United States
  Member #9
  March 24, 2001
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  Nov 16, 2011, 11:16 am

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  In response to winsumloosesum

  Quote: Originally posted by winsumloosesum on Nov 15, 2011

  RJOH,

  What program are you using to calculate the bonus numbers?

  I used a GWBasic program I wrote years ago using the formular  nCr=n!/[(n-r)!*r!] when Ohio had a 649 plus game.

   * you don't need to buy every combination, just the winning ones *