.
I will answer ## 3, 4 and 5 only.
3. The sample space in this case is the set { 0, 1, 2, 3, 4 , 5 }, consisting of six integer numbers from 0 to 5 inclusive.
It is the list of all possible outcomes, according to the definition of a SAMPLE SPACE.
4. The sample space in this case is the same set as in #3.
5. The sample space in this case is the set of all 3-letter words written in the 2-letter alphabet (H,T).
In other words, this set is
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
In all, there are
= 8 elements in this sample space.