If it was a million dollars I would never play, unless victory is 100% guaranteed and even then I would be really sceptical about what's the catch.
With a large amount of repetitions I would play if the balance of probabilities works out in my favour over time, which doesn't apear to be the case here.
Sure. If you say so. But it would not be obvious to me in a interview. but I would describe myself as bad at taking interviews.
Your intuition is mostly correct. In a quantitative interview you would be asked to put hard numbers on it. It would make statistical sense to bet on the first one if you were rich enough, since there is positive expectation, but also a higher chance of losing than winning (but you win more when you win).
The strange thing, is that unless I’ve made a calculation error, 1 million repetitions would give you around $20k of returns. I’m not sure why Balmer suggests this is a loss game.
As for the questions - all of these are designed to lead down some set of paths of discussions and follow up questions. When a candidate branches off into something new and exciting, their chances of getting hired increases immensely.