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Math Help - Check my probability answer?

  1. #1
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    Exclamation Check my probability answer?

    Question:
    The table gives the classification of all the employees of a company by gender and college degree.If one of these employees is selected at random for a member ship on the employee management committee ,determine the following.

    a)P(F intersection G)
    (Table)

    College grad.----not a college grad.-----total

    Female-------3---------7--------------10
    male----------6--------14--------------20
    ----------------9---------21-------------30

    Attempt:
    10/30I*3/30=1/30

    Am I correct?
    Thank you
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  2. #2
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    There are three female graduates out of thirty employees.
    Now think about the answer you gave.
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  3. #3
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    Quote Originally Posted by Plato View Post
    There are three female graduates out of thirty employees.
    Now think about the answer you gave.
    Since they are joint probability we have to use the multiplication rule:
    P(F intersection G)=P(F) * P(G/F)

    P(F) = 10/30
    P(G/F)=3/30
    10/30 * 3/30 =1/30
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  4. #4
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    You are asked to find P(G \cap F).
    But that is P(G \cap F)=P(G|F)P(F)=\left(\frac{3}{10}\right)\left(\frac  {10}{30}\right)=\left(\frac{3}{30}\right).

    But also P(F \cap G)=P(F|G)P(G)=\left(\frac{3}{9}\right)\left(\frac{  9}{30}\right)=\left(\frac{3}{30}\right).
    Last edited by Plato; July 26th 2009 at 01:30 PM.
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  5. #5
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    if  P(M \cap G) was asked then

     P(G) * P(m/g)

     9/30 * 6/9 =1/5

    Am i correct?
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  6. #6
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    Yes it is correct.
    Out of thirty, how many male graduates are there?
    Simply look at the table. It is quite clear.
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