easy Probability
A release-checked easy problem for training Uniform, Geometric Probability.
A snowman is formed by placing three spherical snowballs of radii $r_1 > r_2 > r_3$ inches on top of one another largest to smallest. Assume that every point on the surface of each snowball is visible. A uniformly random point is selected on the surface of the snowman. Find the probability that this point is at most $2r_1 + r_2$ inches off the ground when $r_1 = 10, r_2 = 8,$ and $r_3 = 6$.
This Probability problem is tagged Uniform, Geometric Probability. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.
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