List the elements in the sample space of the experiment.
-A box contains 2 blue cards numbered 1 through 2, and 3 green cards numbered 1 through 3 . List the sample space of picking a blue card followed by a green card.
A) $\{ 7 \}$
B) $\{ ( 1,1 ) , ( 1,2 ) , ( 1,3 ) , ( 2,1 ) , ( 2,2 ) , ( 2,3 ) \}$
C) $\{ ( 1,1 ) , ( 1,2 ) , ( 2,1 ) , ( 2,2 ) , ( 3,1 ) , ( 3,2 ) \}$
D) $\{ 12 \}$

Question

Quizplus · Accepted Answer

The sample space for picking a blue card followed by a green card includes all possible combinations of the two events. Since there are 2 blue cards (numbered 1 and 2) and 3 green cards (numbered 1, 2, and 3), the sample space consists of all pairs where the first number represents the blue card and the second number represents the green card, resulting in 6 possible outcomes: $\{ ( 1,1 ) , ( 1,2 ) , ( 1,3 ) , ( 2,1 ) , ( 2,2 ) , ( 2,3 ) \}$.

List the Elements in the Sample Space of the Experiment {7}\{ 7 \}{7}

List the Elements in the Sample Space of the Experiment $\{ 7 \}$