Let U = R. Let S be a well defined sample space. Let E and F be events such that E is a subset of F. It is the case that Pr( F|E)=1
My professor told me to split up the proof into 2 cases:
1) Pr(E)= 0
2) Pr(E) ≠ 0
Case 2 i have solved but case 1 you get a zero in the denominator since Pr(F|E) = Pr( F∩E) / Pr(E) so this formula is useless because it contradicts the definition of conditional probability .He said to argue that the answer does not have to be DNE and to use the given information the E is a subset of F. Any suggestions on how to attack this ??
Thank you !!!