Most accurate would be n = p, where n is the number of relevant categories, and p is the population of humans on earth! Of course, then you don't have a theory, but simply a description...
I think we need to distinguish between what may be correct/true, and what may be useful. The fiction that the sun revolves around the earth can be quite useful in everyday life, from the point of view of a person standing on the earth, even though it is certainly not accurate.
I think I may be a rainbow, or is that a multiple personality disorder 
Though I would like to think that I am basically green, I can definitely recognise patches where I fit the other colours. Perhaps I a chameleon! 
That would be the ideal, adapting to suit the environment as needed!
Thanks for all the discussion. The concept of Winning Colors is that you have all four personality types in some ration...each person is different but each person will have one or two dominate colors and two will be weaker. The more balanced you are the more mature or experienced you will be in dealing with people.
Educators have used Blooms research on learning styles for years. I believe their are 8, there's some disagreement on a couple of the styles.
I think diskamyl is saying something close to what I'm trying to say. All human beings are way too complex to be placed into one of four categories. Our attempt to classify people by colors or other methods are just a sign of our desire to make sense out of a confusing world, man. *Bong rip*.
When I was growing up, the 4 colors my dad used to identify personality types (not sure where he got the model from, I know he didn't invent it) was:
Red: Leader. Take Charge. Doer.
Green: Thinker. Organizer. Logical.
Blue: Creative. Artistic. Imaginative.
Yellow: Social. Friendly. Whimsical.
As many people have noted, we all have all 4 color traits in us, and humans cannot be defined so simply. However, it can be used to identify TENDENCIES.
He was a salesman at the time, and he had a box of cards with motivational phrases on them for people to keep in their wallet. He would give them a card for free, and based on which phrase they were drawn to the most, he was able to identify their personality tendencies and modified his sales pitch accordingly.
In our case: my dad is Red, my mom is green, my sister is yellow, and I'm blue.
I believe I fall into the "purple haze" category!
Concidering that the most of the players registrated in online chess communities enjoy playing chess at their free time, I could say that their personalities definitly match with the green,but something else is in here.As chess is a game that gives you the option to concentrate your thoughts and provide tactics ,using the best path of someone's individual to win a game, I could say, that it's played not only by people matching with the green.I, myself, am an emotional type,introvert, and use the playing of chess not only for having fun and enjoying that great game,but to tighten up myself in a moments of weakness.It also helps to learn oneself to be more organized and focused.
There are personality type tests, one I like and feel is fairly accurate is the myers-briggs test.
Yes, alot of people change who they are from work to play, at home and with children...depends on their perceptions of what their role should be.
The problem I have with Myers-Briggs is that it types you and offers no hope of change. We teach in winning colors that you can change by reining in your strongest color in some situations and by working on your weakest colors. I deliberately put students in situations where they have to use their weakest color or dampen their strong colors.
We learn alot through experience...I know I have just playing on this site....
There might be something to this. Nothing to lock down, but I did see some similarities between me & some of my buddies on the site. I saw for me one color which stood out more than others, but I also have all 4 color tendencies.
I am probably red, and green, and Mac and Cheese, and supreme pizza color.
My son is a Mac and Cheese, I'm more penut butter and jelly : ,)
The use of personality labels is relevant and useful. My wife uses this as she manages a team of people and determines which person might fit the task at hand the best. Works quit well. 
(as long as you are not married to the person using it)
I took a personality test, and failed it.
There are personality type tests, one I like and feel is fairly accurate is the myers-briggs test.
The Myers-Briggs is the one a psychologist would give you, not the True Colors (as it was called when I learned it about 20 years ago). M-B breaks it down into 16 personality types, but even then, each of the four traits measured falls along a continuam. This is a much more accurate and useful assessment of something as complex as human personality.
As to the original question, all personality types are attracted to all activities. There are activities that attract a higher proportion of certain personalities and that certain personalities are more likely (key word--likely) to enjoy. But it is a misunderstanding of personality to associate a certain action with a certain personality. For example, in a large class of teachers, there would probably be all types. I have no data, but I suspect the same would be true in a chess tournament.
i'm definitely a blue , red or yellow.. green doesn't fits me...
Just because something is widely accepted does not mean it contains even a shred of truth.
It was widely accepted that the sun revolved around the earth.
I think there is a glaring difference between these types study and the scientific studies of physics, biology, chemistry and other provable, observable fields.