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    The probability of hitting the bull's eye

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    Consider the experiment of throwing a dart at a circular dartboard of radius 1. Assume that in the experiment, the dart always hits the board, and the probability of the dart hitting a given region is proportional to the area of that region.

    (a) Find a mathematical description for the sample space in this experiment.
    (b) Find a formula for the probability of the dart hitting a given region.
    (c) Suppose that the bull's eye is a disk of radius 0.05 . Find the probability of getting a bull's eye.
    (d) Find the probability of hitting a particular point (x,y) on the dartboard.

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    Solution Summary

    The probability of hitting the bull's eye is clearly demonstrated in this solution.

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