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.
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.
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.
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?
Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
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