Question

Tossing coins imagine tossing a fair coin 3 times. (a) what is the sample space for this chance process? (b) what is the assignment of probabilities to outcomes in this sample space?

Answer 1

Answer:

(a) what is the sample space for this chance process?

If we toss a coin three times then there are total $2^{3}=8$ outcomes

The sample space associated with the given chance process is:

$S= \left \{ HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\right \}$

(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:

$Probability = \frac{1}{8}$