An equilateral triangle is inscribed in a circle. A dart is thrown at random and lands in the circle. What is
the probability that the dart lands outside of the triangle?
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However, someone can take an aerial photograph of
the spill, digitize it, and then have a computer select
1000 points at random.
If the photograph represents a total area of 42 square
km and 875 of those 1000 points chosen at random
landed in a shaded region of the photograph, what is
the approximate area of the spill?
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Of 100,000 points that were selected at random in the room, 7143 of them landed inside the closet.
What is the approximate volume of the closet?
A point is chosen at random somewhere in the room where you are currently sitting. Estimate the
probability that the chosen point is inside your head.
A point is chosen at random in a square of side length 6 inches. What is the probability that that point is
within a distance of 3 inches from some corner of the square?
Figure 25.5