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1) A1 A2 be two events, show that P (A1 ∩ A2) ≤ P (A1) . P

  1. Jul 27, 2011 #1
    1) A1 A2 be two events, show that P (A1 ∩ A2) ≤ P (A1) . P (A2)
    2) show that P (A1 ∩ A2 ∩ ... ... An) ≤ P (A1) . P (A2) . ... ... ... ... P (An)
    4)
    show that P (A + B) + P (/ A + / B) = 1

    I have problems with these exercises. I dont know if I copied them wrong.
    thanks
     
  2. jcsd
  3. Jul 27, 2011 #2

    LCKurtz

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    Re: Probabilities

    Why don't you look and see if you copied them wrong?

    What if A1 = A2 and P(A1) = 1/2?

    And what does A+B mean for sets A and B? And what does /A mean?
     
  4. Jul 27, 2011 #3
    Re: Probabilities

    I dont have the original statements, but we were looking for a counterexample. The last one instead of plus is union and / is complement. Im sure that one is false too.
     
  5. Jul 27, 2011 #4

    LCKurtz

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    Re: Probabilities

    Me too.
     
  6. Jul 28, 2011 #5

    uart

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    Re: Probabilities

    So that means you are trying to disprove them. It would have been useful if you had of stated that at the outset.
     
  7. Jul 28, 2011 #6

    NascentOxygen

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    Re: Probabilities

    Are Venn diagrams good enough for demonstrating this?
     
  8. Jul 28, 2011 #7
    Re: Probabilities

    thanks everybody for the help. At the beggining we didnt know if there were ok or not. Now we are sure. thanks
     
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