Q. 45.0( 2 Votes )

Three coins are tossed together. Find the probability of getting:

(i) exactly two heads

(ii) at least two heads

(iii) at least one head and one tail

(iv) no tails

Answer :

(i) exactly two heads


Possible outcome of tossing three coins are: HTT, HHT, HHH, HTH, TTT, TTH, THT, THH


Numbers of outcomes of exactly two heads are: 3


Probability of getting exactly two heads is =


Therefore Probability of getting exactly two heads is


(ii) at least two heads


Possible outcome of tossing three coins are: HTT, HHT, HHH, HTH, TTT, TTH, THT, THH


Numbers of outcomes of atleast two heads are: 4


Probability of getting atleast two heads is =


Therefore Probability of getting atleast two heads is


(iii) at least one head and one tail


Possible outcome of tossing three coins are: HTT, HHT, HHH, HTH, TTT, TTH, THT, THH


Numbers of outcomes of at least one head and one tail are: 6


Probability of getting at least one head and one tail is =


Therefore Probability of getting at least one head and one tail is


(iv) no tails


Possible outcome of tossing three coins are: HTT, HHT, HHH, HTH, TTT, TTH, THT, THH


Numbers of outcomes of no tails are: 1


Probability of getting no tails is =


Therefore Probability of getting no tails is


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