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freckles Group Title

A university in Alabama has 1000 employees. Four hundred of the employees have at least 20 years of experience (event A), 100 are African American (event B), and 300 with a background in Microsoft Office 2003 (event C). Assume A,B,C are independent. What is the probability of finding an employee who meets at least two of the three criteria? Answer is suppose to be .166, but how?

  • 2 years ago
  • 2 years ago

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  1. freckles Group Title
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    @zarkon :)

    • 2 years ago
  2. freckles Group Title
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    I thought I do P(ABC)+P(AB)+P(AC)+P(BC) =P(A)P(B)P(C)+P(A)P(B)+P(A)P(C)+P(B)P(C) but that doesn't work :(

    • 2 years ago
  3. Cloverpetal Group Title
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    That should work... hmmmm

    • 2 years ago
  4. BasketWeave Group Title
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    Try drawing either a Tree Diagram or a Venn Diagram. You've counted some events (like ABC) more than once.

    • 2 years ago
  5. Cloverpetal Group Title
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    agreed^

    • 2 years ago
  6. freckles Group Title
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    So how do I draw a venn diagram for independent events?

    • 2 years ago
  7. freckles Group Title
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    That would be three separate venn diagrams right?

    • 2 years ago
  8. BasketWeave Group Title
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    Oops, yes, you're right. What about Tree Diagrams?

    • 2 years ago
  9. freckles Group Title
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    :( I don't know. I'm not seeing it.

    • 2 years ago
  10. BasketWeave Group Title
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    OK. I'll draw the Tree and label it, but you fill in the probabilities (on here or on a sheet of paper). Agreed?

    • 2 years ago
  11. freckles Group Title
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    Alright!

    • 2 years ago
  12. BasketWeave Group Title
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    |dw:1331329425257:dw|

    • 2 years ago
  13. BasketWeave Group Title
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    Sorry about the scribble on the right :)

    • 2 years ago
  14. BasketWeave Group Title
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    Now just label the branches (ABC, ABC', AB'C, AB'C' etc etc) and fill in the probabilities. Then choose which branches to add up :)

    • 2 years ago
  15. BasketWeave Group Title
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    By branch I mean the ones on the right, by the way.

    • 2 years ago
  16. freckles Group Title
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    |dw:1331329609363:dw|

    • 2 years ago
  17. freckles Group Title
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    \[P(ABC)+P(ABC')+P(AB'C)+P(A'BC)=.012+.028+.108+.018=.166\] omg you are totally awesome

    • 2 years ago
  18. freckles Group Title
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    That is a perfect idea. Thanks.

    • 2 years ago
  19. BasketWeave Group Title
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    You're welcome!

    • 2 years ago
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