Determine the sample space for the experiment.
Four coins are flipped and the number of heads observed is recorded.
A) $S = \{ 1,2,3,4 \}$
B) $S = \{ 4 \}$
C) $S = \{ 0,1,2,3,4 \}$
D) $S = \{ \mathrm { HT } , \mathrm { TH } \}$
E) $S = \{ \mathrm { HHHH } \}$

Question

Quizplus · Accepted Answer

The sample space for this experiment consists of all possible outcomes, which are the number of heads that can be observed from four coin flips. This can range from 0 heads to 4 heads, so the sample space should include all of these possibilities. Therefore, the best choice is C, which includes all five possible outcomes. The other choices are incorrect because they do not include all possible outcomes.

Determine the Sample Space for the Experiment S={1,2,3,4}S = \{ 1,2,3,4 \}S={1,2,3,4}

Determine the Sample Space for the Experiment $S = \{ 1,2,3,4 \}$