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Math Help - proabability

  1. #1
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    proabability

    The probability of an event and its complement equals one. True or false?
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  2. #2
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    Re: proabability

    Quote Originally Posted by tukker0509 View Post
    The probability of an event and its complement equals one. True or false?
    \mathcal{P}(E)+\mathcal{P}(E^c)=\mathcal{P}(E)+[1-\mathcal{P}(E)]=~?
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    Re: proabability

    Quote Originally Posted by Plato View Post
    \mathcal{P}(E)+\mathcal{P}(E^c)=\mathcal{P}(E)+[1-\mathcal{P}(E)]=~?
    What is that equation????!
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  4. #4
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    Re: proabability

    Quote Originally Posted by jsweston828 View Post
    What is that equation????!
    Does the OP mean

    \mathcal{P}(E)+\mathcal{P}(E^c) OR \mathcal{P}(E\cap E^c)~?
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  5. #5
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    Re: proabability

    Im so confused! I just answered True!!
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  6. #6
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    Re: proabability

    Quote Originally Posted by jsweston828 View Post
    Im so confused! I just answered True!!
    Well \mathcal{P}(E)+\mathcal{P}(E^c)=1 AND \mathcal{P}(E\cap E^c)=0.
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  7. #7
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    Re: proabability

    So would you say the answer is true or false!!
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  8. #8
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    Re: proabability

    Quote Originally Posted by jsweston828 View Post
    So would you say the answer is true or false!!
    I have no idea. "The probability of an event and its complement equals one."
    That is such a poorly constructed phrase as to be meaningless.
    Look at reply #4. It could be either.
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  9. #9
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    Re: proabability

    ohhh I see! Im just going to hope its correct!
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