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Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go straight (S). Consider observing the direction for each of three successive vehicles. (Enter your answers in set notation. Enter EMPTY or ∅ for the empty set.) (a) List all outcomes in the event A that all three vehicles go in the same direction.

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Answer:

A = {RRR, LLL, SSS}

Step-by-step explanation:

We are going to observe the direction of three consecutive vehicles.

The outcomes that we have to list are those of the event A where all three vehicles go in the same direction, this can be said as "the three vehicles turn right, the three vehicles turn left or the three vehicles go straight".

If the three vehicles turn right, the outcome would be: RRR.

If the three of them turn left, it would be: LLL.

If the three of them go straight, it would be: SSS.

It is obvious that these are the only 3 possible outcomes and therefore:

A = {RRR, LLL, SSS}

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