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MIT PRIMES/Art of Problem Solving

CROWDMATH 2017: The Broken Stick Problem

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Strategy on computing the probability to (c)
myfavouritenumberis73   1
N Nov 24, 2018 by Nirmay
(C)

A simpler case should be used, where n=1.

Since the equation of a line is y=mx+c, all the possible values of m and c using an inequality should be plotted on a graph, where the x-axis is c and y-axis is m. Then another region should be drawn which points inside, (c,m), that would give the equation of a line that would cut the square into to unequal regions. Then the ratio of these two regions should be calculated. This would probably require one to look at individual cases of what some of the lines would look like.

1 reply
myfavouritenumberis73
Oct 16, 2018
Nirmay
Nov 24, 2018
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