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    Peachberries's Avatar
    Peachberries Posts: 1, Reputation: 1
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    #1

    Nov 21, 2011, 10:09 AM
    Math Probability HELP?
    What is the probability of getting more than 4 heads with 6 coins given that you got at least 2 heads?

    If you roll five dice what is the probability of getting exactly three dice with a "4" and two something with other than a "4"?
    Aurora2000's Avatar
    Aurora2000 Posts: 111, Reputation: 16
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    #2

    Nov 21, 2011, 11:27 AM
    "What is the probability of getting more than 4 heads with 6 coins given that you got at least 2 heads?"

    This is conditional probability: put
    A:= Event "getting more than 4 heads"
    B:= Event "got at least 2 heads"

    then what are you looking is
    Now it is clear that (as if A is verified, then B is verified too), so what you are looking for becomes .

    Event "getting more than 4 heads": you can want either 5 heads (prob. 6/64) or 6 heads (prob. 1/64).
    Event "got at least 2 heads": it is the complementary of event "getting more than 4 crosses".

    "If you roll five dice what is the probability of getting exactly three dice with a "4" and two something with other than a "4"?"

    You have to choose 3 dices in which you get "4": you can do this in ways, and the probability of getting "4" is 1/6. Then the other 2 dices must not be "4", which has probability 5/6. Then multiply them.
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