Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go straight (S). Consider the experiment: observing the direction for each of three successive vehicles. (a) Let A be the event that all three vehicles go in the same direction. List all outcomes in A. (b) Let B be the event that all three vehicles take different directions. List all outcomes in B. (e) Let C be the event that exactly two of the three vehicles turn right. List all outcomes in C.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go straight (S). Consider the experiment: observing the direction for each of three successive vehicles. (a) Let A be the event that all three vehicles go in the same direction. List all outcomes in A. (b) Let B be the event that all three vehicles take different directions. List all outcomes in B. (e) Let C be the event that exactly two of the three vehicles turn right. List all outcomes in C. (d) Let D be the event that exactly two vehicles go the same direction. List all outcomes in D. (e) Are C and D mutually exclusive? Explain why, or why not. (f) List the (remaining outcomes) events in the sample space that excludes all of the events above. What is the total number of outcomes in the sample space of this experiment?
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