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Thread: Probability Proof

  1. June 30th 2010, 04:49 PM #1
    teramaries
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    Probability Proof

    Suppose A and B are events in a sample space and that P(A) >1/2 and P(B) >1/2. Prove that P(A intersect B) does not = 0
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  2. June 30th 2010, 05:46 PM #2
    mr fantastic
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    Quote Originally Posted by teramaries View Post
    Suppose A and B are events in a sample space and that P(A) >1/2 and P(B) >1/2. Prove that P(A intersect B) does not = 0
    Recall that \Pr(A \cap B) = \Pr(A) + \Pr(B) - \Pr(A \cap B). Is \Pr(A \cup B) > 1 possible? Therefore, what do you conclude?
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