Total possible outcomes of tossing a coin 3 times,
S = {(HHH),(TTT),(HTT),(THT),(TTH),(THH),(HTH),(HHT)}
∴ n(S) = 8
(i) Let E1 = Event that Sweta losses the entry fee
= She tosses tail on three times
n(E1) = {(T T T)}
(ii) Let Event that Sweta gets double entry fee
= She tosses tail on three times = {(HHH)}
n(E2) = 1
(iii) Let Event that Sweta gets her entry fee back
= Sweta gets heads one or two times
= {(HTT),(THT),(TTH),(HHT),(HTH),(THH)}
n(E3) = 6
