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    nromero's Avatar
    nromero Posts: 1, Reputation: 1
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    #1

    Mar 9, 2009, 09:55 AM
    probability with deck of cards
    What is the probability of drawing 3 cards that are all queens from a deck of cards?
    mudweiser's Avatar
    mudweiser Posts: 2,750, Reputation: 707
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    #2

    Mar 9, 2009, 10:00 AM
    3 over 54 but then when you simplify it it, it becomes 1 over 18

    MRS.S
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #3

    Mar 9, 2009, 01:47 PM

    The probability of drawing one card that's a queen is 4/52. That's because the deck sarts with 4 queens out of 52 cards. Now, if you are successful with that first draw, you are left with 3 queens in a deck of 51 cards, so the probability of the next card being a queen is:

    3/51

    Hence the probability of drawing two queens in a row is

    4/52 * 3/51

    Now, can you continue this logic to determine the probability of drawing a third queen in a row?
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