Chapter 8.6, Problem 11E

To determine

To find the sample space of the given experiment.

Answer to Problem 11E

  $\left\{\text{ABC}\text{,}\text{ACB}\text{,}\text{BAC}\text{,}\text{CAB}\text{,}\text{BCA}\text{,}\text{CBA}\right\}$

Explanation of Solution

Given:

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

Calculation:

The taste tester may give first preference to A or to B or to C, second preference to A or to B or to C, similarly he may give third preference to A or to B or to C.

Therefore the sample space is,

  $\left\{\text{ABC}\text{,}\text{ACB}\text{,}\text{BAC}\text{,}\text{CAB}\text{,}\text{BCA}\text{,}\text{CBA}\right\}$