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Random Sequences and Probabilities

Holger von Jouanne-Diedrich explains the results of a poll:

Some time ago I conducted a poll on LinkedIn that quickly went viral. I asked which of three different coin tossing sequences were more likely and I received exactly 1,592 votes! Nearly 48,000 people viewed it and more than 80 comments are under the post (you need a LinkedIn account to fully see it here: LinkedIn Coin Tossing Poll).

In this post I will give the solution with some background explanation, so read on!

Read on to understand why it’s just as likely that you’ll see a sequence, when flipping a coin, of H,H,H,H,H,H just as often as you’ll see H,T,H,T,H,T.