easy   Probability

Even Card Condition

A release-checked easy problem for training Cards, Bayes' Theorem, Conditional Probability.

Question

Lewis, Lilly, and Scout are going to draw $5$ cards each out of a deck of $15$ cards each numbered from $1$ through $15$, without replacement. If the order of choosing cards is Lewis, then Lilly, then Scout, calculate the probability that Lilly selected card $14$ given that Lewis only selected even numbered cards.

Practice focus

This Probability problem is tagged Cards, Bayes' Theorem, 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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