This could be made to not be a counterexample by using a theory of probability that uses surreals.

That is Pr(irrational|random form 0 to 1) being 1 is of the "almost always" kind, which can be separated form the kind of 1 that is of the "always" kind.

for ω that is larger than any surreal that has a real-counter part, there is a ɛ=1/ω.

Taking only finite samples out of a infinite group makes for a probability that is smaller than any real probability that could well be represented by real/natural multiples of ɛ.

Similarly taking only countably infinite samples from a group of uncountably many samples would result in a probability larger than 0 but smaller than any real value.

Thus we could have P(irrational|between 0 and 1)=1-xɛ and P(rational|between 0 and 1)=xɛ that would sum to exactly 1 and yet P(Z|0-1)=xɛ>0 ie a positive probability.

Similarly the probability of a dart landing *exactly* on a line in a dart board is "almost never" ie 0 yet that place is as probable as any other location on the dart board. It would be possible to find a dart exactly on the line, you would not just expect to encounter it in a finite number of throws.

However there are counterexamples where all As are indeed Bs but no implication is possible.

Beware of figures plucked from the air just because they "sound" small enough or big enough to do the work required of them. It is quite possible to run an ad that goes out to a million people and gets no responses.

What response do video ads on YouTube get, in terms not just of clicks but of whatever action the ad is intended to elicit?