Chapter 7.3, Problem 26E

Let $S=\left\{s_1,s_2,s_3,s_4,s_5,s_6\right\}$ be the sample space associated with an experiment having the probability distribution shown in the accompanying table. If $A=\left\{s_1,s_2\right\}$ and $B=\left\{s_1,s_5,s_6\right\}$, find:

a. $P\left(A\right)$, $P\left(B\right)$	b. $P\left(A^C\right),P\left(B^C\right)$
c. $P\left(A\cap B\right)$	d. $P\left(A\cup B\right)$
e. $P\left(A^C\cap B^C\right)$	f. $P\left(A^C\cup B^C\right)$

Outcome	Probability
$s_1$	$\frac{1}{3}$
$s_2$	$\frac{1}{8}$
$s_3$	$\frac{1}{6}$
$s_4$	$\frac{1}{6}$
$s_5$	$\frac{1}{12}$
$s_6$	$\frac{1}{8}$