An Introduction to Probability and Statistical Inference, 2nd Edition

Answers to even-numbered exercises

Chapter 1

Section 1.2

2.2 

(i) $\begin{array}{cc}\mathcal{S}& =\{(r,r,r),(r,r,b),(r,r,g),(r,b,r),(r,b,b),(r,b,g),(r,g,r),(r,g,b),(r,g,g),(b,r,r),(b,r,b),(b,r,g),(b,b,r),(b,b,b),(b,b,g),(b,g,r),(b,g,b),(b,g,g),(g,r,r),(g,r,b),(g,r,g),(g,b,r),(g,b,b),(g,b,g),(g,g,r),(g,g,b),(g,g,g)\}.\end{array}$

(ii) $\begin{array}{l}A=\{(r,b,g),(r,g,b),(b,r,g),(b,g,r),(g,r,b),(g,b,r)\},\hfill \\ B=\{(r,r,b),(r,r,g),(r,b,r),(r,b,b),(r,g,r),(r,g,g),(b,r,r),(b,r,b),(b,b,r),(b,b,g),(b,g,b),(b,g,g),(g,r,r),(g,r,g),(g,b,b),(g,b,g),(g,g,r),(g,g,b)\},\hfill \\ C=A\cup B=\mathcal{S}-\{(r,r,r),(b,b,b),(g,g,g)\}.\hfill \end{array}$

2.4 

(i) Denoting by ...