A game consists of tossing a one rupee coin 3 | vedclass

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(C) The possible outcomes when tossing a coin $3$ times are:$(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT)$Total number of possible outcomes $= 8$.Hanif wi

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$3/4$

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(C) The possible outcomes when tossing a coin $3$ times are:$(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT)$Total number of possible outcomes $= 8$.Hanif wins if all tosses give the same result,which are $(HHH)$ or $(TTT)$.Number of favourable outcomes for winning $= 2$.Probability of winning $P(	ext{Win}) = \frac{2}{8} = \frac{1}{4}$.Since the sum of the probability of an event and its complement is $1$,the probability of losing is:$P(	ext{Lose}) = 1 - P(	ext{Win}) = 1 - \frac{1}{4} = \frac{3}{4}$.

$A$ 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.

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