but it seems like "I don't know" doesn't mean the same thing anymore, because you can play in a way that can better predict the outcome of keeping your life.
But you've changed things :-) In your situation you know a very important thing: that the probability p is the same for both throws. That is useful information which allows you to do some probability math (specifically compare 1 - p(1-p) and 1 - p^2).
But let's say you don't toss the same coin twice, but you toss two different coins. Does guessing (H,T) help now?
I understand now. Thanks!
This thread is for asking any questions that might seem obvious, tangential, silly or what-have-you. Don't be shy, everyone has holes in their knowledge, though the fewer and the smaller we can make them, the better.
Please be respectful of other people's admitting ignorance and don't mock them for it, as they're doing a noble thing.
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