Determine the sample space for the experiment.
Two prize winners are selected from six people: A,B,C,D,E,and F.

A)S = {AB,AC,AD,AE,BC,BD,BE,CD,CE,DE}
B)S = {AB,AC,AD,AE,AF}
C)S = {AB,AC,AD,AE,AF,BC,BD,BE,BF,CD,CE,CF,DE,DF,EF}
D)S = {AB,AC,AD,BC,BD,CD}
E)S = {AB,CD,EF}

Question

Determine the sample space for the experiment. ​
Two prize winners are selected from six people: A,B,C,D,E,and F.
​
A)S = {AB,AC,AD,AE,BC,BD,BE,CD,CE,DE}
B)S = {AB,AC,AD,AE,AF}
C)S = {AB,AC,AD,AE,AF,BC,BD,BE,BF,CD,CE,CF,DE,DF,EF}
D)S = {AB,AC,AD,BC,BD,CD}
E)S = {AB,CD,EF}

Quizplus · Accepted Answer

The sample space should include all possible combinations of two people selected from the group of six. Option C has all 15 possible combinations listed, making it the best choice. The other options either have missing combinations or include combinations that are not possible with only two prize winners.

Determine the Sample Space for the Experiment. ​

Determine the Sample Space for the Experiment.