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
(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