Chapter 2, Problem 2.4P

A, B, and C take turns flipping a coin. The first one to get a head wins. The sample space of this experiment can be defined by $S=\{\begin{array}{c}1,01,001,0001,\mathrm{...},\\ \mathrm{0000....}\end{array}$

a. Interpret the sample space.

b. Define the following events in terms of S: 10 pt

I. A wins A.

II. B wins = B.

III.

Assume that A flips first, then B. then C. then A. and so on.