Determine the sample space for the experiment.
Two marbles are selected from marbles labeled A through $\mathrm { D }$ where the marbles are not replaced and the order of selection does not matter.
A) $S = \{ \mathrm { AB } , \mathrm { AC } , \mathrm { AD } , \mathrm { BC } , \mathrm { BD } \}$
B) $S = \{ \mathrm { AB } , \mathrm { AC } , \mathrm { AD } , \mathrm { BC } , \mathrm { BD } , \mathrm { CD } \}$
C) $S = \{ \mathrm { AB } , \mathrm { AC } , \mathrm { AD } , \mathrm { BC } , \mathrm { CD } \}$
D) $S = \{ \mathrm { AB } , \mathrm { AC } , \mathrm { AD } , \mathrm { BC } , \mathrm { BD } , \mathrm { CD } , \mathrm { DA } \}$
E) $S = \{ \mathrm { AB } , \mathrm { AC } , \mathrm { AD } , \mathrm { BC } , \mathrm { BD } , \mathrm { CA } , \mathrm { CB } , \mathrm { CD } \}$

Question

Quizplus · Accepted Answer

Since the order of selection does not matter and marbles are not replaced, every combination of 2 marbles from 4 (A, B, C, D) is a unique event in the sample space. The correct sample space includes all combinations of 2 marbles, which are AB, AC, AD, BC, BD, and CD.

Determine the Sample Space for the Experiment D\mathrm { D }D

Determine the Sample Space for the Experiment $\mathrm { D }$