27. Five mark exercise problem X

In a game, the entry fee is $₹$150. The game consists of tossing a coin $3$ times. Dhana bought a ticket for entry. If one or two heads shows 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 $=$ $\frac{i}{i}$

ii) Just gets her entry fee $=$ $\frac{i}{i}$

iii) Loses the entry fee $=$ $\frac{i}{i}$