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Probability Involving AND and OR

  1. May 22, 2012 #1
    Hi folks,

    1. The problem statement, all variables and given/known data
    At Roanoke College it is known that 1/3
    of the students live off campus. It is also known that 5/9
    of the students are from within the state of Virginia and that 3/4
    of the students are from out of state or live on campus. What is the
    probability that a student selected at random from Roanoke College is from out
    of state and lives on campus?


    2. Relevant equations

    -

    3. The attempt at a solution

    It should yield:
    P(out off state OR lives on campus) = P(out off state) + P(lives on campus) - P(out off state AND lives on campus)
    thus
    P(out off state AND lives on campus)
    = P(out off state)+P(lives on campus)-P(out off state OR lives on campus)
    =(1-5/9)+(1-1/3)-(3/4)
    =4/9 + 2/3 - 3/4
    =13/36
    Is this correct?

    -derivator
     
  2. jcsd
  3. May 22, 2012 #2
  4. May 23, 2012 #3
    thanks
     
  5. May 23, 2012 #4

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    The phrase should be "out of state", not "out off state".
     
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