Three coins are tossed simultaneously. Find the probability of at least one head and one tail.
(a) \(\frac{1}{2}\)
(b) \(\frac{1}{4}\)
(c) \(\frac{3}{4}\)
(d) None of these
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(c) \(\frac{3}{4}\)
The sample space for a simultaneous toss of three coins
S = {HHH, HHT, HTT, THH,TTH, THT, HTH, HHH}
Favourable cases = {HHT, HTT, THH, TTH, THT, HTH}
\(\therefore\) P ( getting at least one head, one tail) =\(\frac{6}{8}\) =\(\frac{3}{4}\).