Question

A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Hanif wins if all the tosses give the same result, i.e, three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.

Answer 1

The outcomes associated with this experiment are given by
HHH, HHT, HTH, THH, TTH, THT, HTT, TTT

Total number of possible outcomes = 8
Now, Hanif will lose the game if he gets
HHT, HTH, THH, TTH, THT, HTT

Favourable number of events = 6
Probability that he lose the game = 6/8 = 3/4