Some purple person, somewhere, collected the Eternity Baubles, clicked their heels and suddenly, half of all living beings in the universe just go poof.1
The effect isn't restricted to sentient beings, but to literally every living being: half of the plants producing oxygen just vanish, theoretically. Barring the potentially grim effect of that (which would be hard to analyze), let's use the premise that half as many consumers can survive on half as many living resources (probably not correct, but no need to over-complicate).
So tomorrow, half of the humans vanish. We assume equiprobability for everyone, since our purple giant thought it would be only fair.
On average, half of farmers die. Half of politicians die. Half of airline pilots (including those in flight) die. Half of nuclear plant workers die. We assume the distribution roughly even out in the end, given the scale.
I'm really curious to know if, theoretically, assuming we suddenly lose half of the workforce, society itself can survive the aftermath and adapt to function roughly as it does now? (Of course, half as many people doesn't mean half as much work, because handling the half-pocalyspe will require a fair bit of extra-hours. Firefighters will probably have some busy days) Do we have enough redundancy to keep society going, or do we just mostly die as a species, with only a fraction of the surviving 50% making it into the wild?
1: Any resemblance to a current blockbuster movie is incidental
EDIT (META DISCLAIMER):
There is currently a meta debate regarding questions overlapping with third party world. While this one has obviously been sparked by the viewing of a recent movie, I'd like to ask from a high-concept question point of view, which is in accordance to WB.SE rules.
The question use no mechanisms from the MCU, nor do the answers. No super-heroes, no space civilization visiting us, just plain old Earth humans and their society. The premise is only easier to explain with a visual example at hand.
I suppose the VTC come from the legal debate currently on meta. I'd appreciate if the close-voters could clarify why they do so, if their reason is different from the one counter-argumented above.