Question
Sample Space and Possible Outcomes:
The total number of possible outcomes in the sample space is (2^4 = 16), since there are 4 tosses of the coin.
We can have the following outcomes: 0 heads, 1 head, 2 heads, 3 heads, or 4 heads.
The total number of possible outcomes in the sample space is (2^4 = 16), since there are 4 tosses of the coin.
We can have the following outcomes: 0 heads, 1 head, 2 heads, 3 heads, or 4 heads.
Answers
GPT 3.5
- Outcome of 0 heads: TTTT
- Outcome of 1 head: HTTT, THTT, TTHT, TTTH
- Outcome of 2 heads: HHTT, HTHT, HTTH, THHT, THTH, TTHH
- Outcome of 3 heads: HHHT, HTHH, THHH, HHTH
- Outcome of 4 heads: HHHH
Therefore, the sample space would be: {TTTT, HTTT, THTT, TTHT, TTTH, HHTT, HTHT, HTTH, THHT, THTH, TTHH, HHHT, HTHH, THHH, HHTH, HHHH}
- Outcome of 1 head: HTTT, THTT, TTHT, TTTH
- Outcome of 2 heads: HHTT, HTHT, HTTH, THHT, THTH, TTHH
- Outcome of 3 heads: HHHT, HTHH, THHH, HHTH
- Outcome of 4 heads: HHHH
Therefore, the sample space would be: {TTTT, HTTT, THTT, TTHT, TTTH, HHTT, HTHT, HTTH, THHT, THTH, TTHH, HHHT, HTHH, THHH, HHTH, HHHH}