Quote:
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Originally Posted by Caoimhe
...Each coin toss represents an individual event, not a progression of events, so each coin toss is determined only by its toss, not by ones that precede it.
Would 100 straight heads-tosses be extraordinary? Absolutely. Likely? Not very. Possible? Yup. There are more factors that should be considered before considering the exercise biased, though. |
Mmm. Diverging from the topic a _little_ bit, but for the sake of completeness,
Probability of h heads in n tosses of a coin with a probability of heads equal to p:
(h + t + 1!) / h!t! * r^h * (1-r)^t
h=100, t=0, r=0.5, (presuming fair coin)
(100 + 1)! / 100! * 0.5^100
101 * 0.5^100,
Which, according to google, is
7.96749514 × 10-29
...which is a number so small I don't even know the si prefix for. The coin is biased. Certainty is well over 99.99%.
Edit: I've never really done probability, just have an interest in it, so any and all of these values could be wrong :P


