# Math Help - P(U=V)?

1. ## P(U=V)?

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

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

What are their CDF?

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

I am mostly lost in the second part.

2. 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.