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    Conditional Probability of Drawing Different Kinds of Cards

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    A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting:

    - a prime number under 10 given the card is red. (1 is not prime.)
    - a King, given that the card is not a heart.
    - a nine given the card is a face card.

    Show step by step work. Give all solutions exactly in reduced fraction form.

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    Solution Preview

    1. The prime numbers under 10 are 2, 3, 5 and 7. There are two red suits for each of these card faces, making 8 cards in all. We also know that the deck has ...

    Solution Summary

    This solution illustrates how to compute the conditional probabilities of drawing different kinds of playing cards, given certain conditions on the types of cards being selected. All calculations are provided.