Four pins are randomly nailed to a square board (according to a uniform probability distribution), and a rubber band is stretched completely around them to form a convex shape. What is the probability that the rubber band is in the shape of a triangle?

(In reply to i ve got it by Clara Levy)

Four pins are RANDOMALY nailed to a square board.
if this statement is true, then, it could be placed in a triangle, three could be placed in a triangle formation, and the fourth pin could be placed on one of the three sides (between 2)
ie; three dots in a triangle, on one ofthe sides it has three pins(including the corners of course) and the other sides have two dots(just the courners),

SO THEREFORE:
-there isstill a chance of the pins forming a trianle shape, ALTHOUGH i don't know the
exact probability, i think it's around 30%

Posted by chris on 2005-02-26 06:28:05