Most people answer teacher, but the answer is that Paige is overwhelmingly more likely to be a farmer. Simply because there are orders of magnitude more farmers than teachers in the world.
But are there more farmers named Paige or teachers named Paige?
I can’t imagine Paige is a common name in many of the countries which still rely on subsistence farming, where farming will be a far more prevalent occupation. In the US, where Paige is a relatively common name, there are around twice as many teachers as farmers according to my very brief (and probably not super accurate) research.
Also I imagine that worldwide, farmers will skew male more than female. Just like how teachers probably skew more female than male. Note I didn’t bother to look for statistics for this, this is just a guess.
If you were to not name a person or gender and just say “is this person more likely to be a teacher or farmer,” then sure, farmer. But we’ve limited our base group of people to women named Paige. Surely that adjusts the probability.
The money is life. The money must flow.