That's a very nice and simple argument.
On Thu, May 8, 2008 at 7:23 AM, John Randall <[EMAIL PROTECTED]> wrote: > John Randall wrote: > >> ITEM 54 (Salamin & Gosper): >> The probability that a random rational number has an even denominator is >> 1/3. >> > > One more argument, possibly what was intended. > > Let p and q be random positive integers. Write them in binary, and > remove common trailing zeros. The possibilities on the last bit are > now 1/1, 0/1, 1/0, and only the last case gives an even denominator > for the reduced fraction p/q. > > Best wishes, > > John > > > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
