Question

In a game, the entry fee is Rs 150. The game consists of tossing a coin 3 times. Dhana bought a ticket for entry. If one or two heads show, she gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise, she will lose. Find the probability that she

(i) gets double entry fee

(ii) just gets her entry fee

(iii) loses the entry fee.

Answer 1

(i) Prob(double entry fee) 

 

(ii) Prob(first gets her entry fee) 

(iii) Prob(losing entry fee) = Prob(0H) = \(\frac{1}{8}\)