An unbiased coin is tossed three times in succession.
a. (i) Write the complete sample space S for this experiment.
b. (ii) Let E be the event “exactly two heads are obtained.” List all favourable outcomes for E.
c. (iii) Consider the event F: “at least one head is obtained.” Does the outcome TTT belong to F? Give a reason for your answer.
d. (iv) How many elements are there in each of the sets S, E and F?