Answer:
S= {(A,B,C) , (A,C,B) , (B,C,A), (B,A,C), (C,A,B), (C,B,A)}
And we have 6 possible outcomes for this case.
Step-by-step explanation:
By definition the sample space of an experiment "is the set of all possible outcomes or results of that experiment".
For the case described here: "A taste tester ranks three varieties of yogurt, A, B, and C, according to preference.".
Assuming that we have three varieties of yogurt {A,B,C}
We denote the event (A,B,C) like this: A is the first, B the second and C the third in the rank. And for example the event (C,B,A) means that C is on the 1th position of the rank, B on the 2nd position and A on the 3th position.
The sampling space denoted by S and is given by:
S= {(A,B,C) , (A,C,B) , (B,C,A), (B,A,C), (C,A,B), (C,B,A)}
And we have 6 possible outcomes for this case.
