Category Archives: coin flipping

A Coin-Flipping Problem

One problem that I’ve assigned when discussing Markov chains is to calculate the expected number of flips required for a particular pattern to appear.  (Here I mean a pattern such as heads, heads, heads, or HHH.)  In this post I’m … Continue reading

Posted in coin flipping, Markov chains, probability | Leave a comment

The Expected Number of Flips for a Coin to Achieve n Consecutive Heads

A common probability problem is to determine the expected number of flips required before a coin comes up heads the first time.  The coin doesn’t even have to be fair; the analysis is pretty much the same even if the … Continue reading

Posted in coin flipping, probability | 3 Comments