Let the sample space be the two-dimensional plane. For any real number x , let Ax be the subset of the plane that consists of all points of the vertical line through the point (x,0) , i. e., Ax={(x, y):y∈Re} . a) Do the axioms of probability theory imply that the probability of the union of the sets Ax (which is the whole plane) is equal to the sum of the probabilities P(Ax) ?