Thread: prove pr(E)=0

Let U be a well defined universe; S be a well defined sample space. Let E= empty set.

Prove or disprove that Pr(E)=0

In the axioms of probability there are at most three axioms.
If is the space then .
If then .
Using those two it is easy to show that

Probability axioms - Wikipedia, the free encyclopedia : the second one.

note that probability zero doesn't mean the set is empty
For example, the cubs have zero chance of ever winning a world series
and yet they may in 10,000 years