A taste tester has to rank three varieties of yogurt, A, B, and C, according to preference.

Determine the sample space for the experiment.

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.