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 or combinations of heads (H) and tails (T) when flipping four coins. We can have 0 heads (TTTT), 1 head (HTTT, THTT, TTHT, TTTH), 2 heads (HHTT, HTH T, HTTH, THHT, THTH, TTHH), 3 heads (HHHT, HHTH, HTHH, THHH, HTTH, THHT), or 4 heads (HHHH). Therefore, the set {0,1,2,3,4} represents all possible numbers of heads that could be observed.

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 $S = \{ 1,2,3,4 \}$