Proof of Poisson: Proving P_t Not in {0,1}

[Quantum++]

How can I prove that
P( there exist a t>0 : the changeP_t is not in {0,1} ) = 0
where (P_t)_t>0 is a piosson Proces with parameter lambda > 0.

Thank you.

 

[mathman]

Could you clarify your question?