Help needed in arriving at Possible Outcomes for my theory.

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SUMMARY

The discussion revolves around calculating the possible outcomes of four football matches: Chelsea vs Arsenal, Liverpool vs Manchester United, Real Madrid vs AC Milan, and Juventus vs Inter Milan. The user seeks a method to determine the outcomes for each match, categorized as a win, draw, or loss for each team. They specifically request a logical formula to arrive at a maximum of 24 distinct outcomes for the combined results of these fixtures.

PREREQUISITES
  • Understanding of basic probability concepts
  • Familiarity with combinatorial mathematics
  • Knowledge of football match outcome terminology (win, draw, loss)
  • Ability to interpret and construct outcome matrices
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  • Research combinatorial probability to calculate outcomes for multiple events
  • Explore tools like Python's itertools library for generating combinations
  • Learn about decision trees to visualize match outcome possibilities
  • Study statistical models for predicting sports outcomes
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Sports analysts, mathematicians, and football enthusiasts interested in predicting match outcomes and understanding probability in sports contexts.

sugarkayne
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Hi all,

Foremost i give kudos to all the intelligent members of this forum, i am a new comer on the site and i have read some of the threads here and i commend you all for the efforts dedicated to educating us fellow human beings. Thank you.

I have a querry that seems simple but then again, seems not so simple.
All i know is that it is possible to solve but i just do not know how to go about it.

Please read and try to understand.

Chelsea vs Arsenal
Liverpool Vs Manchester United
Real Madrid Vs Ac Milan
Juventus Vs Inter Milan

What are the possible outcomes for all teams having a Draw, A Win and A loss.
In other words, what are the possible outcomes for let's say chelsea or Arsenal winning, losing and having a draw.Assuming this is the table. Let's call it Diagram A.

Teams HOME DRAW AWAY

Chelsea vs Arsenal # # # # # #

Liverpool Vs Manchester United # # # # # #

Real Madrid Vs Ac Milan # # # # # #

Juventus Vs Inter Milan # # # # # #Intepretation of the above diagram:

HOME - Means Chelsea, Liverpool, Real Madrid, Juventus Win their matches.
DRAW - Means the match ends in a draw
AWAY - Means Arsenal, Manchester United, Ac Milan, Inter Milan win their matches.
# - Stands for Inserted Table (:smile:)

Simple example to suffice for one match are the possible outcomes below: Let's call this Diagram B.

Teams HOME DRAW AWAY

Chelsea vs Arsenal #yes # # # # #

Chelsea vs Arsenal # # #yes# # #

Chelsea vs Arsenal # # # # #yes#

As you can see from the diagram above (Diagram B), one of the predictions will surely come to pass, The game must surely end in Chelsea's favor or in a draw or in Arsenals favor.

What i want, is all probable/possible outcomes/formula for all four teams together as depicted in Diagram A.

I want all outcomes or the means/formula to arrive at a logical conclusion.
Again, what are the possible outcomes for this fixture, i would like the outcomes not to be more than 24 or less please.

Thank you again.
 
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I don't think it's clear what you are asking.
 

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