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.
Solution:
Total possible outcomes when a coin is tossed 3 times:
{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
So, total outcomes = 8
Hanif wins in these 2 cases:
- HHH
- TTT
So, winning outcomes = 2
Losing outcomes = 8 − 2 = 6
Probability that Hanif will lose =
6/8 = 3/4