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Math Help - please help

  1. #1
    letsbeclichex
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    Exclamation please help

    Let A1 and A2 form a partition of sample space S, with

    P(A1)=.4 and P(A2)=.6

    Assume E is an event in S with P(E l A1)=.05 and P(E l A2)=.08


    what would P(E) equal?
    and what would P(A1 l E) equal?
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  2. #2
    GAMMA Mathematics
    colby2152's Avatar
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    Quote Originally Posted by letsbeclichex View Post
    Let A1 and A2 form a partition of sample space S, with

    P(A1)=.4 and P(A2)=.6

    Assume E is an event in S with P(E l A1)=.05 and P(E l A2)=.08


    what would P(E) equal?
    and what would P(A1 l E) equal?
    P(E)=P(E|A1)P(A1)+P(E|A2)P(A2)

    P(A1|E)=P(E|A1)P(A1) / [P(E|A1)P(A1) + P(E|A2)P(A2)]
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