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A random sequence of 0's and 1's is generated by tossing a fair coin N times. A 0 corresponds to the outcome heads and a 1 to the outcome tails. A run is an uninterrupted sequence of 0's or 1's only. Use computer simulation to verify experimentally that the length of the longest run exhibits little variation and has its probability mass concentrated around the value log2(N) - 2 3 when N is sufficiently large.

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