• ### Announcements

• #### New upgrade with simpler interface05/13/2016

Once again, the fine folks at IPB made a new upgrade and things might not be where you started to learn they were. However, this is one time where I think they actually improved things for navigation. There are only a few big buttons: When you click on one of those buttons, some other stuff opens up, depending on which button you click. (Later Note: These only appear when zoomed in or in the mode for smartphones/tablets.) I'm learning this as you are, so I suggest you do what I am doing: click on these big buttons, see what they open and fiddle with the software some. Ironically, you will find there is a lot that is intuitive. That's what I'm discovering. (Later note: I just discovered that I was viewing the site zoomed in too far to see the normal view. The menus are still there with the old buttons, but when I zoom in too much, they disappear and the new buttons appear. I believe this zoomed in way is what the site looks like on mobile devices. I'm going to mess with it some more, then maybe make some explanations.) Sorry for the inconvenience. Still, over time, I hope you end up liking these changes. Michael
Followers 0

# Chess Match: Math Problem

## 1 post in this topic

Why is it that the 2012 world chess match will be between the #4 player and the #22 player, by Elo rating? I would tend to expect it to be between the #1 player and the #2 player. This question suggests a math problem.

Gelfand, the #22 player, qualified as challenger for Anand's world title by a series of 3 matches. They were 4 games, 4 games, 6 games. Short matches.

The Math Problem:

Each game is worth 1 point. If you win, you get the full point. If you lose, you get zero. If the game is a draw, each player gets half a point. If the match (series of games) is a draw, there is a tie break system.

Assume that the higher rated player on average scores 60%. Assume that the probability of a game being a draw is 50% (which is a little on the low side in real life).

Let N be the number of games in a match. What is the equation that expresses the relationship between N and the probability that the lower rated player wins the match?

Or, how the 773H did Gelfand qualify as challenger?

0