Answer:
(a) what is the sample space for this chance process?
If we toss a coin three times then there are total [tex]2^{3}=8[/tex] outcomes
The sample space associated with the given chance process is:
[tex]S= \left \{ HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\right \}[/tex]
(b) what is the assignment of probabilities to outcomes in this sample space?
Since the given sample space has eight outcomes and we know that a fair coin is tosses three times. Therefore, the probability of all the events mentioned in the given sample space is same. Hence we have:
[tex]Probability = \frac{1}{8}[/tex]