# 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

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)}

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 Rate this question :

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