Q38 of 66 Page 15

A game consists of tossing a one-rupee coin 3 times and noting the outcome each time. Ramesh wins the game if all the tosses give the same result (i.e. three heads or three tails) and loses otherwise. Find the probability of Ramesh losing the game.[CBSE 2017]


S (Sample Size) = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}


∴ Total number of elementary events = 8


Ramesh loses if outcome is {HHT, HTH, THH, TTH, THT, HTT}


∴ Total number of favourable events = 6





Hence, probability of Ramesh losing the game = 3/4

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