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Math Help - Playing cards

  1. #1
    Junior Member elenaas's Avatar
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    Playing cards

    You draw a card at random from a standard deck of 52 cards. Find each of the following probabilities:
    a. The card is a heart, given that it is red.
    b. The card is red, given that it is a heart.
    c. The card is an ace, given that it is red.
    d. The card is a queen, given that it is a face card.

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  2. #2
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    a) under assumption you draw a red card, probability of heart is 13/26, there are 26 red cards and 13 heart cards in the deck
    b)13/13 because all hearts are red
    c) 2/26
    d) there are 4*4 face cards (i think ace is not a face card) and 4 queens, so 4/16.
    Last edited by jalko; October 22nd 2009 at 11:42 AM.
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  3. #3
    Super Member Deadstar's Avatar
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    Quote Originally Posted by jalko View Post
    a) under assumption you draw a red card, probability of heart is 13/24, there are 24 red cards and 13 heart cards in the deck
    I think jalko meant 26 red cards in the deck here. So probability of a heart = 13/26 = 0.5
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  4. #4
    Junior Member elenaas's Avatar
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    Ok thank you, I also think so, but I just want to make myself sure
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  5. #5
    Junior Member elenaas's Avatar
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    I still have some doubts about d) because there are 4x3=12 face cards
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  6. #6
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    It's possible, i don't play cards so much and my elementary math obviously stayed behind for now.

    google said you are right.
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