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So after how many consecutive heads will you decide that the coin is biased? 10? 100? 1000? And what is that number based on? In any case, if you choose any nu
by prmph 10y ago
So after how many consecutive heads will you decide that the coin is biased? 10? 100? 1000? And what is that number based on?
In any case, if you choose any number X, then what you are really saying is that a fair coin cannot produce X heads in a row. In that case, consider this thought experiment: lets assume we know a coin is fair, then by your logic, as soon as we have X-1 heads in a row, we already know the outcome of the Xth toss: it should be a tail. But this is a contradiction, because if the coin is really fair, then the probability of a tail on any toss should always be 50%, irrespective of what has happened before