EX 2.8 operations on events of EX 2.3

(EX 2.3 pumps of gas stations continued) For the experiment in which the number of pumps in use at a single six-pump gas station is observed, let

• $A=\{0,1,2,3,4\}$
• $B=\{3,4,5,6\}$
• $C=\{1,3,5\}$

Then

• $A^{\prime }=\{5,6\}$
• $A\cup B=\{0,1,2,3,4,5,6\}=\mathcal{E}$
• $A\cup C=\{0,1,2,3,4,5\}$
• $A\cap B=\{3,4\}$
• $A\cap C=\{1,3\}$
• ${\left(A\cap C\right)}^{\prime }=\{0,2,4,5,6\}$