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Math Help - Playing card probability question

  1. #1
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    Playing card probability question

    What is the probability of drawing a red card or a queen from a deck of cards?

    Thank you!
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  2. #2
    Member mathemagister's Avatar
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    Quote Originally Posted by PiratePrincess View Post
    What is the probability of drawing a red card or a queen from a deck of cards?

    Thank you!
    Out of 52 cards (no jokers), half of them (26) are red, and 4 are queens. However, 2 of the queens are red anyway so don't count them twice. So there are 28 cards out of 52 that you want.

    So the probability is \frac{28}{52} = \frac{7}{13} \approx 0.538 or 53.8%

    Hope I helped you
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  3. #3
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    Quote Originally Posted by PiratePrincess View Post
    What is the probability of drawing a red card or a queen from a deck of cards?

    Thank you!
    Hi PiratePrincess,

    There are 26 red cards, 2 of which are queens.
    There are 4 queens, 2 of which are red.
    There are 2 non-red (black) queens.

    The probability is the sum of the probabilities of drawing a red card and the probability of drawing a black queen.
    Or it is the probability of drawing a red queen subtracted from the sum of the probability of drawing a red card and the probability of drawing a queen (since both of those contain the probability of drawing a red queen).
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    Smile Thanks so much!

    I really appreciate your help!
    I have my first test on probability tonight, wish me luck!
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  5. #5
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    Quote Originally Posted by PiratePrincess View Post
    I really appreciate your help!
    I have my first test on probability tonight, wish me luck!
    Very best of luck with your test, PiratePrincess!
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  6. #6
    Member mathemagister's Avatar
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    Quote Originally Posted by PiratePrincess View Post
    I really appreciate your help!
    I have my first test on probability tonight, wish me luck!
    Your welcome and good luck!!
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  7. #7
    Member Awsom Guy's Avatar
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    just remember these stats. There are 52 cards in a deck. Half of those are red. there are four of each kind of card they are: Ace 2 3 4 5 6 7 8 9 10 Jack queen King.
    there are sometimes jokers beware.
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  8. #8
    Member Awsom Guy's Avatar
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    Quote Originally Posted by Awsom Guy View Post
    just remember these stats. There are 52 cards in a deck. Half of those are red. there are four of each kind of card they are: Ace 2 3 4 5 6 7 8 9 10 Jack queen King.
    there are sometimes jokers beware.

    There are also spades diamond hearts and clubs.
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