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Archive for September 2008

The Probability of Runs of k Consecutive Heads in n Coin Tosses

Problem: What’s the probability that at least one run of k consecutive heads occurs in n coin tosses? Method One: Definitions: R{k,n}: the fact that at least one run of k consecutive heads occurs in n coin tosses. ~E: the fact that event E does not occur. A & B: the fact that event A [...]