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Comment by aynsof
Here's an experiment: get a million people to guess the results of a thousand coin-tosses. By the end, a miraculous few will have a 100% record and will be hailed as geniuses. Books will be written about this incredible group. These books will find the traits that, by chance, the group members happen to share with each other. ("My god, they all have brown hair!" "Yes, but they come from eclectic backgrounds - housewives, factory workers, math professors." "How fascinating!") But what is the probability any one member of that group correctly guessing the result of the next coin toss?