easy Probability
A release-checked easy problem for training Cards, Combinations and Permutations.
A deck of cards is well shuffled. Cards are dealt from this deck one-by-one until the first ace appears. Find the probability that exactly one king, queen, and jack appears before the first ace. Note that other cards that aren't these $4$ ranks can appear before the first ace. Round to the nearest thousandth.
This Probability problem is tagged Cards, Combinations and Permutations. 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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