EX 2.5 vehicles

Consider an experiment in which each of three vehicles taking a particular freeway exit turns left $\left(L\right)$ or right $\left(R\right)$ at the end of the exit ramp.

The eight possible outcomes that comprise the sample space are $LLL,RLL,LRL,LLR,LRR,RLR,RRL$, and $RRR$.

Thus there are eight simple events, among which are $E_1=\{LLL\}$ and $E_5=\{LRR\}$ .

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Some compound events include

• $A$ = { RLL, LRL, LLR } = the event that exactly one of the three vehicles turns right
• $B$ = { LLL, RLL, LRL, LLR } = the event that at most one of the vehicles turns right
• $C$ = { LLL, RRR } = the event that all three vehicles turn in the same direction

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Suppose that when the experiment is performed, the outcome is LLL. Then

• the simple event $E_1$ has occurred
• so also have the events $B$ and $C$
• but not $A$.