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    Probability: Selection Without Replacement

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    Suppose that you select 3 cards without replacement from an ordinary deck of playing cards.
    a) If the first card that you select is a spade and the second is a heart, what is the probability that the
    third card that you select is a spade?
    b) If the first card that you select is a four, what is the probability that the second card that you
    select is a diamond?

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    https://brainmass.com/math/probability/probability-selection-replacement-544874

    Solution Preview

    Please see the attached file for the complete solution.

    a) Total number of cards in an ordinary deck of playing cards = 52
    Total number of spades in the deck = 13
    Total number of hearts in the deck = 13

    Since two cards have already been drawn from the deck without replacement, there are now 52 - 2 = 50 cards in the ...

    Solution Summary

    This solution calculates a set of probabilities of drawing particular cards from a standard deck.

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