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Question 38(ii)
In a game, the entry fee is of Rs 5. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise, she will lose. For tossing a coin three times, find the probability that she
gets double entry fee.


Solution

Total possible outcomes of tossing a coin 3 times, 
S = {(HHH), (TTT), (HTT), (THT), (TTH), (THH), (HTH), (HHT)}
n(S)=8
Let E2 = Event that Sweta gets double entry fee
= She tosses heads on three times ={(HHH)}
n(E2)=1
P(E2)=n(E2)n(S)=18

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