All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Probability
Falling through the floor (Posted on 2007-05-18) Difficulty: 3 of 5
Given uniformly randomly chosen x on the interval (1,5) and y on the interval (1,5) find the probability of each:

[x] + [y] = [x+y]

[x] - [y] = [x-y]

[x] * [y] = [x*y]

[x] / [y] = [x/y]

Where [x] is the floor function, the greatest integer less than or equal to x.

No Solution Yet Submitted by Jer    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
re: solutions for first three | Comment 3 of 4 |
(In reply to solutions for first three by Charlie)

Your multiplying case [x]*[y]=[x*y] solution agrees with mine.

I tried to write it as the natural logarithm of a rational number to give an exact solution but keep making mistakes. 

Would anyone else like to try?

  Posted by Jer on 2007-05-18 12:54:48
Please log in:
Remember me:
Sign up! | Forgot password

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

Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information