When a coin is tossed three times, the favourable outcomes are:
HHH
TTT
HTH
THT
HHT
TTH
HTT
THH
i) Shweta will lose her entry fee if she throws 3 tails,
Therefore, the probability that she loses her entry fee = 1/8
ii) Shweta will receive double the entry fee if she throws three heads.
Therefore, the probability that she gets double the entry fee = 1/8
iii) Shweta will get her entry fee back if one or two heads show.
Therefore, the probability that she gets her entry fee = 6/8
= 3/4