EX 2.6 events in EX 2.3

(EX 2.3 pumps of gas stations continued)

When the number of pumps in use at each of two six-pump gas stations is observed, there are 49 possible outcomes, so there are 49 simple events:

• $E_1=\{\left(0,0\right)\}$,
• $E_2=\{\left(0,1\right)\}$,
• $\dots$,
• $E_{49}=\{\left(6,6\right)\}$.

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Examples of compound events are

• $A$ = $\{\left(0,0\right),\left(1,1\right),\left(2,2\right),\left(3,3\right),\left(4,4\right),\left(5,5\right),\left(6,6\right)\}$ = the event that the number of pumps in use is the same for both stations
• $B$ = $\{\left(0,4\right),\left(1,3\right),\left(2,2\right),\left(3,1\right),\left(4,0\right)\}$ = the event that the total number of pumps in use is four
• $C$ = $\{\left(0,0\right),\left(0,1\right),\left(1,0\right),\left(1,1\right)\}$ = the event that at most one pump is in use at each station

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