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

Total outcomes are:

HHH, HHT, HTH, THH, HTT, THT, TTH, TTT

Favorable outcomes for losing the game are

HHT, HTH, THH, HTT, THT, TTH

Therefore the probability of losing the game is:

P (Losing the game) = 6/8

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