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(a)
Let the longer of the two sticks AB have length L, and the shorter of the two, CD, must then have length L/3. Label the break in AB point X. Let the distance from A to X be d.
In order to successfully construct a triangle, we must have: or
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The event space is labeled in blue and the probability is thus 1/3.
(b)
A similar argument will show that P = 1/4
(c)
1 / N
Problem 8
