JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    Three fair coins are tossed. If both heads and tails appears, then the probability that exactly one head appears, is

    A)                 \[\frac{3}{8}\]       

    B)                 \[\frac{1}{6}\]

    C)                 \[\frac{1}{2}\]       

    D)                 \[\frac{1}{3}\]

    Correct Answer: C

    Solution :

               Since both heads and tails appears, so            \[n(S)=\{HHT,\,HTH,\,THH,\,HTT,\,THT,\,TTH\}\]            \[n(E)=\{HTT,\,THT,\,TTH\}\]                 Hence required probability \[=\frac{3}{6}=\frac{1}{2}.\]


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