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Thread: P(U=V)?

  1. #1
    Junior Member
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    P(U=V)?

    Suppose we are tossing a FAIR coin and we have the random variables

    $\displaystyle
    U(H)=0, U(T)=1,
    V(H)=1, V(T)=0$



    What are their CDF?

    Now, is it true that $\displaystyle P(U=V)=0$? If so, why?

    I am mostly lost in the second part.
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  2. #2
    Pim
    Pim is offline
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    The second part means: Is it true that V is never equal to U? Namely, the probability of them being equal, is it 0? I think you should be able to take it from here.
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