Answer
S = {SSS, SSF, SFS, SFF, FSS, FSF, FFS, FFF}
Work Step by Step
For the first shoot the sample space is: {S, F}
Now, each of the two outcomes of the first shoot must be combined with the two outcomes of the second shoot:
- S with S = SS
- S with F = SF
- F with S = FS
- F with F = FF
The sample space after the second shoot is: {SS,SF,FS,FF}
Now, each of the four outcomes of the second shoot must be combined with the two outcomes of the third shoot:
- SS with S = SSS
- SS with F = SSF
- SF with S = SFS
- SF with F = SFF
- FS with S = FSS
- FS with F = FSF
- FF with S = FFS
- FF with F = FFF
The sample space after the third shoot is: {SSS, SSF, SFS, SFF, FSS, FSF, FFS, FFF}
