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    krouse1019's Avatar
    krouse1019 Posts: 1, Reputation: 1
    New Member
     
    #1

    Oct 20, 2008, 01:23 PM
    Probability outcomes
    if three coins are tossed at the same time, what is the probability that at least one of the coins will land heads up. The answer is 7/8 but explain why:confused:
    v1033's Avatar
    v1033 Posts: 44, Reputation: 3
    Junior Member
     
    #2

    Oct 20, 2008, 01:34 PM

    all the possible outcomes are:

    HHH
    HHT
    HTH
    THH
    HTT
    THT
    TTH
    TTT

    where H is heads and T is tails

    of the 8 possible outcomes only one has no heads up toss and the remaining 7 do

    so the probability that at least one of the coins will land heads up. The answer is 7/8

    I'm not sure what level you are working at, so let me know if that doesn't make sense to you...
    ryan2440's Avatar
    ryan2440 Posts: 13, Reputation: 1
    New Member
     
    #3

    Oct 20, 2008, 09:37 PM

    Of the 8 possible outcomes only one has no heads up toss and the remaining 7 do, so the probability that at least one of the coins will land heads up is 7/8
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
     
    #4

    Oct 21, 2008, 04:50 AM

    Or, if you want to use that method:

    Probability of having all tails (in all the other outcomes, there is at least one head)

    =

    =

    Then, to have your answer, do:

    =

    =

    Hope it helped!

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