Three coins are tossed together. Find the probability of
(i) exactly one tail
(ii) exactly two tails
(iii) at least one tail
(iv) at most two tails
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When three coins are tossed together, the total number of outcomes =8
i.e., (HHH,HHT,HTH,THH,TTH,THT,HTT,
Solution (i):
Let E be the event of getting exactly two heads
Therefore, no. of favorable events, n(E)=3(i.e.,HHT,HTH,THH)
We know that, P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
3/8
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