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The binomial distribution gives the frequencies of "successes" in a fixed number of independent "trials". Use this tag for questions about data that might be binomially distributed or for questions about the theory of this distribution.

3 votes

Probability of a run of k successes in a sequence of n Bernoulli trials

Here is a Mathematica simulation for the Markov chain approach, note that Mathematica indexes by $1$ not $0$: M = Table[e[i, j] /. { e[9, 1] :> 0, e[9, 9] :> 1, e[_, 1] :> (1 - p), e[ …
Hossam Karim's user avatar