easy Probability
A release-checked easy problem for training Uniform, Geometric Probability, Continuous Random Variables.
A uniformly random point $(X,Y,Z)$ is selected from the interior of a cylinder whose base has radius $r$ and has height $h$. Assume the the base of the cylinder is centered at $(0,0,0)$. Find the probability that the point also lies within the cone whose base and height is the same as the cylinder.
This Probability problem is tagged Uniform, Geometric Probability, Continuous Random Variables. 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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