Q. 165.0( 4 Votes )

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

(i) exactly two heads

(ii) at most two heads

(iii) at least one head and one tail.

(iv) no tails

Answer :

Concept Used:



Explanation:


Sample space = {(H, H, H), (H, H, T), (H, T, T), (H, T, H), (T, H, H), (T, T, H), (T, H, T), (T, T, T)}


(i) P(Exactly two heads) =?


Now,


Total Possible outcomes = 8


Total favourable outcomes = 3



(ii) P(at most two heads) =?


At most two heads mean that the number of heads should be 2 or less than 2.


Total Possible outcomes = 8


Total favourable outcomes = 4



(iii) P(at least one head and at least one tail) =?


Total possible outcomes = 8


Total favourable outcomes = 6



(iv) P(no tails) = ?


Total possible outcomes = 8


Total favourable outcomes = 1



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