Well, there appears to be a few confused individuals left. I educated the others, but I have to try again. I'm here to help. I must reiterate that the total number of people in one group (men) CANNOT, CANNOT, CANNOT influence the SKILL level of the people in another group (women). It VIOLATES the laws of LOGIC and MATHEMATICS and PROBABILITY and COMMON SENSE. Did the hundreds of white golfers hurt TIger Woods' chance of being number one? NO. He is just more SKILLFUL at golf than everyone else. Doesn't matter how many white people he competes against. Numbers and color of skin have NOTHING TO DO WITH SKILL!!!!! Here it is....once again........
"Probability can ONLY be used when all things are EQUAL. For example, if I have 10 socks in a drawer. 9 red and 1 white, the probability of me picking the white sock are 1 in 10 or 10%. Call it probability or odds or whatever you like. Understand? Good. If I took 24 black ROOKS and 4 white ROOKS and floated them in a bucket of water, reached into the bucket, what would be the odds that I picked a black rook? 24 in 28. Reduced to 6 in 7 or 85.7%. Are you all following me? Good.
Now, when things are NOT equal, probability cannot be used. Allow me to explain. If I were to take a sinker and tie it to those 24 black rooks so they sunk to the bottom, would I still have an 85.7% chance of getting a black rook? NO. They SUNK!! Out of reach. See? Ok. If I were to sit across the chessboard from Vishy ANAND for a 40/120 game, the 2 possible outcomes are that I win or that I lose (let’s forget about the draw for this example). Right? Either I will win or I will lose. So, I have a 50% chance of beating ANAND, right? WRONG. Wait a minute, either I will win (50 percent) or lose (50 percent). Heck, with those odds, I want IN for the next WCC. Do you all see that I (a 1900USCF player) do NOT have a 50% chance of beating Anand? We are NOT equal. His skill FAR exceeds mine. The same can be said for Tiger Woods. He is the only black player on the PGA but is ranked #1 in a sea of white people. How can this be, you ask? There are soooo many whites on tour. A white should have like a 99% chance of being #1.
In conclusion, when whatever it is you are sampling is NOT equal, probability cannot be used, at least not fairly. Imagine if I got to pick 500,000 numbers on the next lottery for $1, I would have a better chance than you at winning. UNFAIR! The simple fact that more men play chess than women has ZERO relevance regarding why a man has ALWAYS occupied the #1 position. ZERO. Do I make myself clear? Good."