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Three unbiased coins are tossed simultaneously. Find the probability of getting :
(a) exactly two tails
(b) at least one head
(c) at most two heads
(a) exactly two tails
(b) at least one head
(c) at most two heads
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Sol. Possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
(a) P(exactly two tails) $= \frac{3}{8}$
(b) P(atleast one head) $= \frac{7}{8}$
(c) P(atmost two heads) $= \frac{7}{8}$
(a) P(exactly two tails) $= \frac{3}{8}$
(b) P(atleast one head) $= \frac{7}{8}$
(c) P(atmost two heads) $= \frac{7}{8}$