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Math Help - Drawing cards out of deck

  1. #1
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    Drawing cards out of deck

    So, I am having trouble with this problem....

    Emily draws a card from a standard 52-deck. Let A, B, C be the events:
    A: Emily draws a club.
    B: Emily draws a red card.
    C: Emily draws a picture card (Jack, Queen, or King).

    What is the probability of at least two of the three events occur?


    I have tried but wasn't very successful....i don't think. I have done a problem similar i think and i had to do the probability it wouldn't happen and then just subtract it from 1. I tried it but don't think i did it correctly.


    Any help is very appreciated!
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  2. #2
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    Quote Originally Posted by dude15129 View Post
    Emily draws a card from a standard 52-deck. Let A, B, C be the events:
    A: Emily draws a club.
    B: Emily draws a red card.
    C: Emily draws a picture card (Jack, Queen, or King).
    What is the probability of at least two of the three events occur?
    Notation: P(ABC) stands for the probability that all three events occur.
    Of course P(ABC)=0 because a club is not red.
    P(AC)=\frac{3}{52} because there are three clubs face cards.

    "What is the probability of at least two of the three events occur?"
    P(AB)+P(AC)+P(BC)+P(ABC)=?
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