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Math Help - Independent events

  1. #1
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    Independent events

    An experiment consists of drawing a number at random from {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
    Let A = {1, 2, 3, 4, 5, 6}, B = {1, 3, 5, 7, 9, 11} and C = {4, 6, 8, 9}.

    a) Are A and B independent?
    b) Are A and C independent?
    c) Are B and C independent?

    What does it mean by independent?

    The answers say part a) and b) are yes where as c) is no.
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  2. #2
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    Quote Originally Posted by user_5 View Post
    An experiment consists of drawing a number at random from {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
    Let A = {1, 2, 3, 4, 5, 6}, B = {1, 3, 5, 7, 9, 11} and C = {4, 6, 8, 9}.

    a) Are A and B independent?
    b) Are A and C independent?
    c) Are B and C independent?

    What does it mean by independent?

    The answers say part a) and b) are yes where as c) is no.
    If P(A\cap B)=P(A)\cdot P(B) then A~\&~B are independent.

    If P(B\cap C)\ne  P(B)\cdot P(C) then C~\&~B are not independent.
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