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.
(In reply to solutions for first three
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