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Math Help - Help with proving probability equations

  1. #1
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    Exclamation Help with proving probability equations

    Hey, if anyone has time to give me some guidance on how to prove these i would be so grateful thank you... :

    i) P(A∩B) ≥ P(A) +P(B)−1,
    ii) P(A∆B) = P(A) +P(B)−2P(A∩B)
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  2. #2
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    Re: Help with proving probability equations

    Quote Originally Posted by jennyk View Post
    i) P(A∩B) ≥ P(A) +P(B)−1,
    ii) P(A∆B) = P(A) +P(B)−2P(A∩B)
    1\ge\mathcal{P}(A\cup B)=\mathcal{P}(A)+\mathcal{P}(B)-\mathcal{P}(A\cap B)
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  3. #3
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    Re: Help with proving probability equations

    Thanks but i don't follow/understand this. Maybe i'm hopeless but something more step by step would be great
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  4. #4
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    Re: Help with proving probability equations

    Quote Originally Posted by jennyk View Post
    Thanks but i don't follow/understand this. Maybe i'm hopeless but something more step by step would be great
    You can't solve 1\ge a +b-c for c\ge ~?
    If you cannot then you need help at a far deeper level than you can get anywhere online.
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