Question

A game consists of tossing a one-rupee coin three times, and noting its outcome each time. If getting the same result in all the tosses is a success, find the probability of losing the game.

Answer 1

When a coin is tossed 3 times, all possible outcomes are НHH, НHT, HTH, THH, HTT, THT, TTH, TTT.

Number of all possible outcomes = 8.

P(success) = P(getting HHH or TTT) = `2/8 = 1/4`.

∴ P(losing the game) = `(1 - 1/4) = 3/4`.