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Math Help - Independant events.

  1. #1
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    Independant events.

    A pair of fair dice is cast. Let E denote the event that the number landing uppermost on the first die is a 3 and let F denote the event that the sum of the numbers landing uppermost is 6. Determine whether E and F are independant events.


    Ok, so I'm fairly sure I've done this right, but need someone to check my work. I figure Pr(E)=1/6 and Pr(F)=5/36. Pr(E∩F)=1/36.

    Since (5/36) x (1/6) DNE 1/36 the events are not independant.

    Is this correct? Thanks.
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  2. #2
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    Quote Originally Posted by jebckr View Post
    A pair of fair dice is cast. Let E denote the event that the number landing uppermost on the first die is a 3 and let F denote the event that the sum of the numbers landing uppermost is 6. Determine whether E and F are independant events.


    Ok, so I'm fairly sure I've done this right, but need someone to check my work. I figure Pr(E)=1/6 and Pr(F)=5/36. Pr(E∩F)=1/36.

    Since (5/36) x (1/6) DNE 1/36 the events are not independant.

    Is this correct? Thanks.
    Yes.
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