perplexus.info :: Probability : Chessboard

Home > Probability

Chessboard (Posted on 2004-01-14)

Three different squares are chosen randomly on a chessboard.

What is the probability that they lie in the same diagonal?

No Solution Yet Submitted by Ravi Raja

Rating: 3.5000 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Chessboard

| Comment 11 of 21 |

The total number of occurences is
64C3
and the desirable outcomes is
16C3

So the required probability is

16
C
3
---------------
64
C
3
=0.037878.....

Posted by Purna on 2004-01-24 06:32:37

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info