If you toss a fair coin 2 times the probability distribution will be as follows.
2 heads: .25
2 tails: .25
head:tail:.25
tail:head:.25
If you toss the coin an infinite number of times the probabiliy distribution will be similar. One of the distributions will be an infinite series of heads and one an infinite series of tails, etc. No? Or are you through has mathematics able to eliminate a potential result? I'm sure common sense plays no part in this discussion but even common sense tells us that one possibility is to continuously toss a head.
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Vince