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Question
CBSEENMA11014672

Three coins are tossed once. Find the probability of getting exactly two tails.

Solution

Three coins are tossed.
rightwards double arrow Sample space, S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}
rightwards double arrow         n(S) = 8
Event A: Exactly two tails are obtained.
rightwards double arrow       A = {TTH, THT, HTT} rightwards double arrow  n(A) = 3
Hence,  space space straight P left parenthesis straight A right parenthesis equals fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 3 over 8