Determine the sample space for the experiment. Three marbles are selected from marbles labeled A through D where the marbles
Are not replaced and the order of selection does not matter.
A) $S = \{ \mathrm { ABC } , \mathrm { ABD } , \mathrm { BCD } \}$
B) $S = \{ \mathrm { ABC } , \mathrm { ABD } , \mathrm { ACD } , \mathrm { BCD } \}$
C) $S = \{ \mathrm { ABC } , \mathrm { BCD } , \mathrm { CDA } \}$
D) $S = \{ \mathrm { ABC } , \mathrm { ABD } , \mathrm { BCD } , \mathrm { CBA } , \mathrm { CDA } \}$
E) $S = \{ \mathrm { ABC } , \mathrm { ABD } , \mathrm { BCD } , \mathrm { CDB } \}$

Question

Determine the sample space for the experiment. Three marbles are selected from marbles labeled A through D where the marbles
Are not replaced and the order of selection does not matter. 
A) $S = \{ \mathrm { ABC } , \mathrm { ABD } , \mathrm { BCD } \}$
B) $S = \{ \mathrm { ABC } , \mathrm { ABD } , \mathrm { ACD } , \mathrm { BCD } \}$
C) $S = \{ \mathrm { ABC } , \mathrm { BCD } , \mathrm { CDA } \}$
D) $S = \{ \mathrm { ABC } , \mathrm { ABD } , \mathrm { BCD } , \mathrm { CBA } , \mathrm { CDA } \}$
E) $S = \{ \mathrm { ABC } , \mathrm { ABD } , \mathrm { BCD } , \mathrm { CDB } \}$

Quizplus · Accepted Answer

The sample space must include all possible combinations of three marbles selected from A, B, C, and D without replacement and without regard to order. Option B lists all possible combinations, while the other options either miss some combinations or include combinations that cannot occur.

Determine the Sample Space for the Experiment S={ABC,ABD,BCD}S = \{ \mathrm { ABC } , \mathrm { ABD } , \mathrm { BCD } \}S={ABC,ABD,BCD}

Determine the Sample Space for the Experiment $S = \{ \mathrm { ABC } , \mathrm { ABD } , \mathrm { BCD } \}$