Coin Toss Runs Calculator

 Enter probability of heads p = probability of tails q = 1 - p

Average number of tosses for a head run of length h

 μ(h) = $\frac{1-p^h}{p^hq}$ μ()

Average number of tosses for a head run of length h or a tail run of length t

 μ( h, t ) = $\frac{(1-p^h)(1-q^t)}{p^hq+pq^t-p^hq^t}$ μ(, )

See our book The Coin Toss: The Hydrogen Atom of Probability to learn about coin toss statistics.