Mathematical Methods in the Physical Sciences · Problem 16.3.23

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · probability-theorems-thick-coin

Problem

A thick coin has probability

\frac{3}{7}

of falling heads,

\frac{3}{7}

of falling tails, and

\frac{1}{7}

of standing on edge. Show that if it is tossed repeatedly it has probability 1 of eventually standing on edge.