(Q20). 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 :

When a coin is tossed for n - times, the total number of outcomes = 2ⁿ.

∴ If a coin is tossed for 3 - times, then the total number of outcomes =

Of the above, no. of outcomes with different results = .