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List all outcomes in the event c that exactly two of the three vehicles turn right

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Final answer:

In Mathematics, specifically in the context of probability, the outcomes where exactly two of three vehicles turn right are (R, R, N), (R, N, R), and (N, R, R), representing distinct permutations accounting for the order in which the vehicles turn.

Step-by-step explanation:

The subject in question is Mathematics, specifically related to the concept of events and outcomes in probability. The student seems to be asking about the possible outcomes when exactly two of three vehicles turn right. This is a permutation and combination problem used to determine all the possible outcomes of an event and is particularly involved with understanding conditional events within a sample space.

We have three vehicles, and we want to list all outcomes where exactly two vehicles turn right. Let 'R' represent a vehicle turning right and 'N' represent a vehicle not turning right. The possible outcomes are:

  1. (R, R, N)
  2. (R, N, R)
  3. (N, R, R)

Each outcome listed above represents a different permutation where two vehicles turn right and one does not. The order matters because each vehicle is distinct, hence why each different arrangement is considered a unique outcome.

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