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 gets double entry fee.

Answer 1

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(E_2) = (n(E_2))/(n(S)) = 1/8`