I’d pick B in both situations if it seemed likely that the offer were trustworthy. But in many cases, I’d give some chance of foul play, and it’s FAR easier for an opponent to weasel out of paying if there’s an apparently-random part of the wager. Someone says “I’ll pay you $24k”, it’s reasonably clear. They say “I’ll pay you $27k unless these dice roll snake eyes” and I’m going to expect much worse odds than 35⁄36 that I’ll actually get paid.
So for 1A > 1B, this may be based on expectation of cheating. For 2A < 2B, both choices are roughly equally amenable to cheating, so you may as well maximize your expectation.
It seems likely that this kind of thinking is unconscious in most people, and therefore gets applied in situations where it’s not relevant (like where you CAN actually trust the probabilities). But it’s not automatically irrational.
How trustworthy is the randomizer?
I’d pick B in both situations if it seemed likely that the offer were trustworthy. But in many cases, I’d give some chance of foul play, and it’s FAR easier for an opponent to weasel out of paying if there’s an apparently-random part of the wager. Someone says “I’ll pay you $24k”, it’s reasonably clear. They say “I’ll pay you $27k unless these dice roll snake eyes” and I’m going to expect much worse odds than 35⁄36 that I’ll actually get paid.
So for 1A > 1B, this may be based on expectation of cheating. For 2A < 2B, both choices are roughly equally amenable to cheating, so you may as well maximize your expectation.
It seems likely that this kind of thinking is unconscious in most people, and therefore gets applied in situations where it’s not relevant (like where you CAN actually trust the probabilities). But it’s not automatically irrational.