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Probability a five-card contains the ace of hearts

  1. Apr 22, 2008 #1
    1. The problem statement, all variables and given/known data
    What is the probability that a five-card contains the ace of hearts?

    2. Relevant equations
    [tex]P(E)=|E|/|S|[/tex]
    [tex]P(E_{1}\bigcup E_{2})=P(E_{1})+P(E_{2}) + P(E_{1}\bigcap E_{2})[/tex]

    3. The attempt at a solution
    The number of ways to choose 5 cards from 52*the numbers of ways to get an ace from five of those?
    [tex]C(52,5)C(5,1)[/tex]
     
  2. jcsd
  3. Apr 22, 2008 #2

    exk

    User Avatar

    mmm, try:

    number of ways to choose ace of hearts*number of ways to choose the other 4 cards/number of ways to choose 5 cards from 52.

    1*c(51,4)/c(52,5)

    that seems better to me.
     
  4. Apr 22, 2008 #3
    That looks better, thank you very much.
     
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