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There are quite a few topics on this question already but I couldn't find a well-explained solution. Please point me towards some relevant literature or theory to analyze this problem.

$K$ consecutive heads with a biased coin?

Probability of tossing a biased coin without having k heads consecutively in a row

Probability of tossing a fair coin with at least $k$ consecutive heads

Thanks.

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I think this would be a duplicate except that you're asking for relevant literature or theory; as such I've added the reference-request tag. –  Goos Sep 12 '13 at 17:51
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"I couldn't find a well-explained solution" Users Sasha and joriki will be delighted. (Unrelated: several other MSE pages answer the same question in details.) –  Did Sep 12 '13 at 17:59
    
Feller, "An Introduction to Probability Theory and Its Applications, Volume 1, 3rd Edition", section XIII.7. –  awkward Sep 12 '13 at 23:06

1 Answer 1

There are at least two methods that can solve this problem. Both are discussed in detail in this question: http://stats.stackexchange.com/questions/21825/probability-over-multiple-blocks-of-events

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