bubbled
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bubbled's post in Limited Predictive Ability was marked as the answer
OK, I agree, but it's really really thin. First of all, I might be a cowboy and want to maximize my chances of turning 8 into 128. In that case, I'd use the power on first two rounds. And who's to say that's wrong? if you put clear parameters in place, like "minimize chance of ruin," I'm totally with you.
Also, if you offered me $.50 to use my power first two rounds, I'd be foolish not to.
In the case where we are taking about $8 at risk, you can't make a definitive choice and say it's "right." If we say a player has to risk all the money they have in the world, now I'm feeling like it's clear that last two is right.
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bubbled's post in Spin the bottle (no kissing involved) was marked as the answer
I believe I posted a very similar problem years ago involving a roulette wheel and a ball with paint on it. It can be solved with just logic. No math is needed:
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bubbled's post in Pick a red card, randomly? was marked as the answer
OK. Here's my attempt at a formal inductive proof:
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bubbled's post in I love a parade. But how long is it? was marked as the answer
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