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Math Help - Probability Please check my work!

  1. #1
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    Probability Please check my work!

    Hi guys, again please check my work(bold is my answer). But the last one i don't know.

    consider events E and F in a sample space S

    P ( E ) + P ( F ) ≥ 0 for any events E and F . (a) True (b) False
    P ( E ) + P ( F ) ≤ 100 % for any events E and F . (a) True (b) False
    P ( E ) ⋅ P ( F ) ≤ 100 % for any events E and F . (a) True (b) False
    For any eventsE and F , P ( E ) − P ( F ) = P ( E ∩ F ) − P ( E ∪ F ) .
    (a) True (b) False
    For any eventsE and F , − P ( E ) − P ( F ) = P ( E ∩ F ) − P ( E ∪ F ) .
    (a) True (b) False
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  2. #2
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    isnt the same as

    P ( E ) + P ( F ) = - P ( E ∩ F ) + P ( E ∪ F ) ?
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  3. #3
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    Quote Originally Posted by Haytham View Post
    isnt the same as
    P ( E ) + P ( F ) = - P ( E ∩ F ) + P ( E ∪ F ) ?
    No that is not correct.
    P(E)+P(F)=P(E\cap F)+P(E\cup F)
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  4. #4
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    is it false?
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  5. #5
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    Quote Originally Posted by aeubz View Post
    For any eventsE and F , − P ( E ) − P ( F ) = P ( E ∩ F ) − P ( E ∪ F ) .
    (a) True (b) False
    YES it is false.
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