Pick two real numbers and at random in with a uniform distribution.
What is the probability that , where denotes the nearest
integer function, is even?
The answer may be found as follows.
so
(OEIS A091651).
See also
Number Picking,
Real
Number
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References
American Mathematics Competitions. Problem B3 in "William Lowell Putnam Competition Archive, 1993" http://www.unl.edu/amc/a-activities/a7-problems/putnam/.Borwein,
J. and Bailey, D. Mathematics
by Experiment: Plausible Reasoning in the 21st Century. Wellesley, MA: A
K Peters, p. 139, 2003.Losinski, L. F.; Alexanderson, G. L.;
and Larson, L. C. "The Fifty-Fourth William Lowell Putnam Mathematical
Competition." Amer. Math. Monthly 101, 725-734, 1994.Scholes,
J. "54th Putnam 1993." http://www.kalva.demon.co.uk/putnam/putn93.html.Sloane,
N. J. A. Sequence A091651 in "The
On-Line Encyclopedia of Integer Sequences."Referenced on Wolfram|Alpha
Real Number Picking
Cite this as:
Weisstein, Eric W. "Real Number Picking."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RealNumberPicking.html
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