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Question
In a game, the entry fee is 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 loses the 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 E1 = Event that Sweta losses the entry fee
= She tosses tail on three times
∴ n(E1) = {(TTT)}
∴ `P(E_1) = (n(E_1))/(n(S)) = 1/8`
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