Sandbox: Difference between revisions

From ChanceWiki
Jump to navigation Jump to search
Line 3: Line 3:
by Gary Antonik, Numberplay blog, ''New York Times'', 17 March 2014
by Gary Antonik, Numberplay blog, ''New York Times'', 17 March 2014


The post begins with this simple problem:
The post begins with this simple problem, posed by Daniel Finkel:
<blockquote>
<blockquote>
Consider this simple game: flip a fair coin twice. You win if you get two heads, and lose otherwise. It’s not hard to calculate that the chances of winning are 1/4… . Your challenge is to design a game, using only a fair coin, that you have a 1/3 chance of winning.
Consider this simple game: flip a fair coin twice. You win if you get two heads, and lose otherwise. It’s not hard to calculate that the chances of winning are 1/4… . Your challenge is to design a game, using only a fair coin, that you have a 1/3 chance of winning.

Revision as of 01:29, 7 April 2014

A coin puzzle

A coin problem
by Gary Antonik, Numberplay blog, New York Times, 17 March 2014

The post begins with this simple problem, posed by Daniel Finkel:

Consider this simple game: flip a fair coin twice. You win if you get two heads, and lose otherwise. It’s not hard to calculate that the chances of winning are 1/4… . Your challenge is to design a game, using only a fair coin, that you have a 1/3 chance of winning.

Continues "And here is my recipe for getting the most out of this problem: if you can solve it, do not stop with one answer. Rather, see how many answers you can come up with. I’ve posed this problem to many people, and I continue to hear novel solutions."



Submitted by Bill Peterson