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Math Help - 13 card hand

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    13 card hand

    Compute the probability that a hand of 13 cards contains:

    a) the ace and king of at least one suit.

    b) all 4 of at least 1 of the 13 denominations.
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    Quote Originally Posted by cgiulz View Post
    Compute the probability that a hand of 13 cards contains:
    a) the ace and king of at least one suit.
    Suppose that \mathcal{S} is the event that the hand contains the ace and king of spades.
    Then P(\mathcal{S})=\frac{\binom{50}{11}}{\binom{52}{13  }}.
    Now you want to find P(\mathcal{S}\cup\mathcal{H}\cup \mathcal{C}\cup \mathcal{D}).
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