https://silacos.netlify.app/blog/code_challenges_series/ Recent content in Code Challenges on Silvana Acosta Hugo -- gohugo.io en © Silvana Acosta 2024 Tue, 21 Jan 2020 00:00:00 +0000 https://silacos.netlify.app/blog/code_challenges_series/longest_run_heads/ Tue, 21 Jan 2020 00:00:00 +0000 https://silacos.netlify.app/blog/code_challenges_series/longest_run_heads/ window.xaringanExtraClipboard(null, {"button":"","success":"","error":""}) pre { font-size: 13px; } A coin is tossed \(n\) times, thereby generating a sequence of heads (H) and tails (T). A subsequence of consecutive heads is called a run of heads. Consequently, the following sequence of length \(n = 20\): \begin{equation} HHTHTTHHHHTTTHHTTTTH \label{eq:tosses} \end{equation} contains 5 runs of heads with lengths 2,1,4,2,1, respectively. The longest run of heads is \(M_n = 4\). If we toss a coin 1000 times and get that the largest number of heads in a row was 6, is this a fair coin?