On 4/15/06, Mike Stay <mike@math.ucr.edu> wrote:
How do you select two integers independently at random?
You select them uniformly in the interval [0, X] for some (large) X: if your answer has a limit as X -> oo, then you've established a meaningful result. Of course, once you move to several variables --- as in the case of some well-known probabilistic geometrical paradoxes whose names (Bertrand, maybe?) currently escape me --- the shape of the region of integration affects the result, and entertaining confusion rapidly supervenes! Fred Lunnon
On 4/14/06, dasimov@earthlink.net <dasimov@earthlink.net> wrote:
Given two integers selected independently and at random, what is the probability they are relatively prime *and* that each one is squarefree?
--Dan
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
-- Mike Stay metaweta@gmail.com http://math.ucr.edu/~mike
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun