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    gibbsm1's Avatar
    gibbsm1 Posts: 1, Reputation: 1
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    #1

    May 3, 2007, 03:32 PM
    Probability homework
    table:
    Male Female

    Jobs

    Admin 110 10

    Staff 30 50

    Hourly 60 40

    What is the probability that an employee picked at random is female or works as a admin.
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
    Expert
     
    #2

    May 4, 2007, 05:46 AM
    Quote Originally Posted by gibbsm1
    table:
    Male Female

    Jobs

    Admin 110 10

    Staff 30 50

    Hourly 60 40

    What is the probability that an employee picked at random is female or works as a admin.
    Couple of ways to look at this. When given an "OR" probability problem it is often helpful to think through all the cases that satisfy the OR condition, and then add those up. Here you could add together the probabilities that the person is (a) female and admin, plus (b) female and not admin, plus (c) male and admin. When you do take this approach be careful to not inadverdently double count some cases. Or you can think through the reverse problem - here the prob that a person is female OR Admin is 1 minus the prob that a person is NEITHER female NOR admin. That'll work too.
    s_cianci's Avatar
    s_cianci Posts: 5,472, Reputation: 760
    Uber Member
     
    #3

    May 6, 2007, 03:40 PM
    Quote Originally Posted by gibbsm1
    table:
    Male Female

    Jobs

    Admin 110 10

    Staff 30 50

    Hourly 60 40

    What is the probability that an employee picked at random is female or works as a admin.
    (10 + 50 + 40 + 110 - 10)/(110 + 30 + 60 + 10 + 50 + 40)

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