How to calculate The Number Of Odd/Even Combo's in a 5/36 matrixPrev TopicNext Topic

• GiveFive

  

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  May 23, 2021, 10:28 am

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  I know that A 5/36 matrix has a total of 376,992 possible combinations. What I don't know is the number of combo's that are included within the following sets; the number of combo's that have 5 odd numbers/0 even, (all numbers drawn were odd) 4 odd numbers/1 even, 3 odd numbers/2 even, 5 even numbers (all numbers drawn were even numbers) /0 odd, and 4 even numbers/1 odd.  The sum of the broken out sets off combo's has to total 376,992. 

  Does anyone know how to calculate the number of odd/even combo's for each set of combo's within the 5/36 matrix?  Any help/insight would be greatly appreciated.  G5

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• Raven62

  

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  May 23, 2021, 11:28 am

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  In response to GiveFive

  Quote: Originally posted by GiveFive on May 23, 2021

  I know that A 5/36 matrix has a total of 376,992 possible combinations. What I don't know is the number of combo's that are included within the following sets; the number of combo's that have 5 odd numbers/0 even, (all numbers drawn were odd) 4 odd numbers/1 even, 3 odd numbers/2 even, 5 even numbers (all numbers drawn were even numbers) /0 odd, and 4 even numbers/1 odd.  The sum of the broken out sets off combo's has to total 376,992. 

  Does anyone know how to calculate the number of odd/even combo's for each set of combo's within the 5/36 matrix?  Any help/insight would be greatly appreciated.  G5

  5E/0O = 8568 =combin(18,5)
  
  4E/1O = 55080 =combin(18,4)*combin(18,1)
  
  3E/2O = 124848 =combin(18,3)*combin(18,2)
  
  2E/3O = 124848 =combin(18,2)*combin(18,3)
  
  1E/4O = 55080 =combin(18,1)*combin(18,4)
  
  0E/5O = 8568 =combin (18,5)
  
  Total = 376992 =combin(36,5)

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• GiveFive

  

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  May 23, 2021, 4:27 pm

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  In response to Raven62

  Quote: Originally posted by Raven62 on May 23, 2021

  5E/0O = 8568 =combin(18,5)
  
  4E/1O = 55080 =combin(18,4)*combin(18,1)
  
  3E/2O = 124848 =combin(18,3)*combin(18,2)
  
  2E/3O = 124848 =combin(18,2)*combin(18,3)
  
  1E/4O = 55080 =combin(18,1)*combin(18,4)
  
  0E/5O = 8568 =combin (18,5)
  
  Total = 376992 =combin(36,5)

  THANK YOU!   Exactly what I was looking for!  G5

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• Raven62

  

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  In response to GiveFive

  Quote: Originally posted by GiveFive on May 23, 2021

  THANK YOU!   Exactly what I was looking for!  G5

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  Which Group are you going to Play?

  A mind once stretched by a new idea never returns to its original dimensions!
  
  Catch-22: A dilemma or difficult circumstance from which there is no escape because of mutually conflicting or dependent conditions.
  
  Corruptissima re publica plurimae leges: When the republic is at its most corrupt the laws are most numerous.
  
  The best way to learn is to never stop being an Experiential Student!
• GiveFive

  

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  May 23, 2021, 4:45 pm

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  In response to Raven62

  Quote: Originally posted by Raven62 on May 23, 2021

  You're Welcome!
  
  Which Group are you going to Play?

  I usually play 3 Odd, 2 Even or 2 Odd 3 even.   That's a total of 249,696 combo's or 66.22 % coverage of all 376,992 possible combo's in a 5/36 matrix.

  In Florida Fantasy5, (a 5/36 matrix and I'm located in Florida) most drawings see 3/O - 2/E or vice versa.  That said, 4/O 1/E or 4/E 1/O happen too.  We dont see too many all odds or all evens, but occasionally they do happen. 

  I was curious to know how many combo's were in each group but I had no idea how to calculate it, so thanks again. G5

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• Raven62

  

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  May 23, 2021, 5:24 pm

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  In response to GiveFive

  Quote: Originally posted by GiveFive on May 23, 2021

  I usually play 3 Odd, 2 Even or 2 Odd 3 even.   That's a total of 249,696 combo's or 66.22 % coverage of all 376,992 possible combo's in a 5/36 matrix.

  In Florida Fantasy5, (a 5/36 matrix and I'm located in Florida) most drawings see 3/O - 2/E or vice versa.  That said, 4/O 1/E or 4/E 1/O happen too.  We dont see too many all odds or all evens, but occasionally they do happen. 

  I was curious to know how many combo's were in each group but I had no idea how to calculate it, so thanks again. G5

  5E/0O = 8568 Combinations
  
  Out of those 8568 Combinations would match 4 of 5 55080 4E/1O
  
  Out of those 8568 Combinations would match 3 of 5 124848 3E/2O

  A mind once stretched by a new idea never returns to its original dimensions!
  
  Catch-22: A dilemma or difficult circumstance from which there is no escape because of mutually conflicting or dependent conditions.
  
  Corruptissima re publica plurimae leges: When the republic is at its most corrupt the laws are most numerous.
  
  The best way to learn is to never stop being an Experiential Student!
• Speler

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  May 26, 2021, 6:33 pm

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  That is number mod 2. How about the odds for number mod 3?