Zeke and Monty play a game. They repeatedly toss a coin until either the sequence tail-tail-head (TTH) or the sequence tail-head-head (THH) appears. If TTH shows up first, Zeke wins; if THH shows up first, Monty wins. What is the probability that Zeke wins?

My first reaction to this question was, “It’s 50-50, right? It has to be 50-50.” But then a moment’s pause: “If it was 50-50, you wouldn’t be asking.”

Of course it isn’t 50-50

If you were to play the game, or simulate it, you’d find that TTH shows up first ā on average ā about two-thirds of the time. But that’s weird! Surely TTH and…

Continue reading at:

http://ift.tt/2t7b95l

### Like this:

Like Loading...

*Related*