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
Coin Tossing: The Hydrogen Atom of Probability
to learn about coin toss statistics.