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I Question on probability

  1. Aug 5, 2017 #1
    Can you give a example to differentiate independent events from mutually exclusive events?

    Suppose there is a random experiment of rolling a die:

    E1 is a event of getting a multiple of 3
    E1={3,6}
    E2 is a event of getting a multiple of 2
    E2={2,4,6}
    Is E1&E2 are independent events, here they are not mutually exclusive.
     
  2. jcsd
  3. Aug 5, 2017 #2

    mfb

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    Staff: Mentor

    Calculate the probability of E1, E2 and "E1 and E2" and check it yourself?

    Finding two mutually exclusive events should be easy.
     
  4. Aug 5, 2017 #3
    P(E1)=1/3, P(E2)= 1/2
    P(E1∩E2) = 1/6
    This only tells me that they are not mutually exclusive
    This does not tell me any thing about independent event
     
  5. Aug 5, 2017 #4

    mfb

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    What is the condition for independent events?
     
  6. Aug 5, 2017 #5
    That is what i am asking?
     
  7. Aug 5, 2017 #6

    mfb

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    Staff: Mentor

    Definitions are something you should look up.
     
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