Here's another question: If you were shown the moves in a game played by a chess engine, would you be able to tell that it was an engine? Assuming that the engine is a decent one.
The gender of the game

Most people here couldn't tell the difference between a game played by Magnus Carlsen and and an anonymous 2200 without an engine to help them. No, you can't tell gender by the style of chess played.
Most people here couldn't tell the difference between a game played by Magnus Carlsen and and an anonymous 2200 without an engine to help them. No, you can't tell gender by the style of chess played.
but to be fair the game looked very suspicious to me
If you see the avatar of the player, can you guess the gender of the player?
Yes. Recently I played with a supposed female model here on chess.com . It turned out she's got a moustache...
man i hate those women with beard

If the player brings the queen out early it means she's a female.
Male players know that during the opening the Queen should stay in the kitchen.

lol, well SmyslovFan, I think you know the name of the white player in the first game. And therefor maybe also the name of the black player. :-)

I will tell now who played what in which game.
Kasparov said that women can't play chess. The first game is therefor a loss of Kasparov against Judith Polgar. She plays white, he is playing black.
In the second game play the other two Polgar sisters against/with each other. It is a game between Zsuzsa (white) and Zsofia (black).
In the third game play Ulf Andersson with white against Pia Cramling with black.
LongIslandMark made one guess about one player and he was correct. GreedyPawnGrabber had three out of four correct. So is GM_Hiceberg, who was the only one to think that the last game was between two women.
Quite impressive. I looked at the games myself and I did not have any clue at all. My motivation to use concrete examples is the belief that it is impossible to make that distinction. I agree with Smyslovfan that it is for most of us (certainly for me) impossible to tell which players where playing in a game. Let alone more - imo unrelated - specific characteristics of the player. The number of plays presented is very small and the number of gender of players known (50%), so there are not very many possibilities left. But that the first player is 'identified' as a woman by all three, that is remarkable.
Anyone want to guess the income of the chess players? Or their football team? Or the colour of their car? Are they cat or dog lovers or horse lovers or koala lovers?

#37:
In the first game I would say that black is much younger then the white player. Got the idea, because it looks like black wants to attack at any cost, while white is more playing for a solid progress. After the sacrifice of the exchange is black trying to win more material, while white is trying to centralize its pieces.
There are more young women then older women playing chess, hence I would say that black is a young woman. The game and the mate is beautiful by the way. I would say that white is an older man.
In the second game seems white to be much better in end games then black. The pawns of white on the queen side are on white fields, hence can't be attacked by the black bishop. What the bishop is doing there upto move 47 or something, I really don't know. Furthermore was I surprised about the willingness to exchange rooks but not that last minor piece. Looks like a fixed preference. Therefor would I say that black is a computer and white a human.
It is a game in which a lot of people would have settled for a draw a long time ago. My guess is that white is a man.

The first game was played in 1985 between Lembit Oll and Rustem Dautov, who was 20 at the time.
The second game was played in 2010 in the Women's World Championship between Hou Yifan and Koneru Humpy.
If you compare players of similar ratings, it's impossible to determine the gender. I know chessbase published an article several years ago which argued that women tend to be more overtly aggressive than men, but they didn't compare players of similar ratings. They did find that when women play men, men tend to play more passively than when men play against other men, which is interesting.

Yes. I could also guess their hair colour, height, place of birth, favourite food, and mother's maiden name.
A more serious question would be to try to guess their ratings.
Protip: Never eat pancakes during a tournament.