easy Probability
A release-checked easy problem for training Uniform, Conditional Probability.
Suppose that $(c,d) \subseteq (a,b) \subseteq \R$ are fixed intervals. Alice selects a uniformly random real number from $(a,b)$, while Bob selects a uniformly random real number from $(c,d)$. Find the probability that Bob selects a larger number than Alice when $a = 0, b = 10, c = 4,$ and $d = 8$.
This Probability problem is tagged Uniform, Conditional 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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