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Math Help - Probability of compound events?

  1. #1
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    Probability of compound events?

    I am having difficulty with these two questions

    1. The probability of at least 4 tails facing up when 6 coins are dropped on the floor.

    2. Find probability using standard deck of cards

    P(both king or aces) if two cards are drawn without replacement.

    I know there are 8 aces and kings in 52 card deck but I am confused on how to set problem up I think it mutually inclusive.
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  2. #2
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    Re: Probability of compound events?

    Quote Originally Posted by homeylova223 View Post
    1. The probability of at least 4 tails facing up when 6 coins are dropped on the floor.
    With six coins the probability of any given event is \frac{1}{2^6}.

    Now all you need do is answer "how many ways can we arrange TTTTHH~?
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    Re: Probability of compound events?

    Hmm I am not sure how many way to arrange 4 Tails and two heads. I am slightly confused on that part would you just do 6 ncr 4?
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    Re: Probability of compound events?

    Quote Originally Posted by homeylova223 View Post
    Hmm I am not sure how many way to arrange 4 Tails and two heads. I am slightly confused on that part would you just do 6 ncr 4?
    Yes \binom{6}{4}.
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    Re: Probability of compound events?

    If 6 ncr 4 equals 15

    Would the final answer just be (15/(1/2^6) or is there an extra step I am missing
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    Re: Probability of compound events?

    Quote Originally Posted by homeylova223 View Post
    If 6 ncr 4 equals 15
    Would the final answer just be (15/(1/2^6) or is there an extra step I am missing
    Well almost: \frac{15}{2^6} is the final answer.
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