easy Probability
A release-checked easy problem for training Dice, Conditional Probability.
You have two fair dice. One of them is m-sided, while the other is n-sided. The dice have respective values $1$ to $m$ and $1$ to $n$ on the sides. Suppose that $n > m$. Find the probability that the n-sided die shows a strictly larger value than the m-sided die. Solve this with $m = 20$ and $n = 30$.
This Probability problem is tagged Dice, 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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