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Last night, a friend of mine produced a coin and tossed it neatly a few times. I idlely commented that I'd be impressed if he got the same result several times in a row... he proceeded to toss 7 heads straight off. Then got a tail. I don't think there was any foul-play, but there's only a 1 in 128 chance of getting 7 heads in 7 tosses...
I know this isn't a math forum, but I've been thinking about how math works (or doesn't work) in reality. For example, math states that there is a possibility that I can flip a coin a thousand, or even a million times and have the coin land tails every time (assuming that the coin and flipper are NOT in a perfectly controlled and finely tuned environment where physics would cause the coin to land on tail every time). But is it REALLY possible to have this kind of outcome in reality? Does this mean that using math to predict something in science is invalid?
Would the way the coin is tossed repeatedly and the facing side help to equate a 50/50 chance over a thousand tosses ?ie: alternate between starting with heads and tails facing upwards ?