mathmatical analysis

Jump to forum:
 
4th July 2009, 03:30pm
#1
by abefrohman
Portland, OR United States
Member Since: Jul 2009
Member Points: 1

This is for a math class I am taking I got the answer completely wrong on an already completed quiz.

In the game of chess, if white makes one move and black responds with one move, how many possibilities are there?

4th July 2009, 03:33pm
#2
by RosarioVampire
Singapore
Member Since: Jan 2009
Member Points: 264

4000? >.>

4th July 2009, 03:34pm
#3
by NM tonydal
United States
Member Since: Oct 2007
Member Points: 4753

From the initial position...400 (20 x 20).

4th July 2009, 04:00pm
#4
by einstein_69101
Nebraska United States
Member Since: Dec 2007
Member Points: 5385

White has 20 possible moves for its first choice and black has 20 possible responses so 20x20 = 400 possibilities.  :)

4th July 2009, 04:02pm
#5
by WanderingWinder
United States
Member Since: Jul 2008
Member Points: 838

A much more interesting question is how many possibilities after two moves for each side, both in numbers of distinct positions and distinct games, which will be MUCH more difficult to answer.

4th July 2009, 04:11pm
#6
by mosqutip
Hudson United States
Member Since: Dec 2008
Member Points: 339

Seems like a trick question. If it's from the starting position, then 400 would be right. But if it's in a different position than the initial, it could be anywhere from 1 possibility to an infinite amount.

 

Add your comment:

Join Chess.com for free to add your comment! Already a member? Then login now to comment.