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JEE Main & Advanced Mathematics Probability Question Bank Self Evaluation Test - Probability-II

  • question_answer
    A coin is tossed thrice. If E be the event of showing at least two heads and F be the event of showing head in the first throw, then find \[P\left( \frac{E}{F} \right)\]

    A) \[\frac{4}{3}\]

    B) \[\frac{3}{4}\]

    C) \[\frac{1}{4}\]

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

    Correct Answer: B

    Solution :

    [b]\[S=\{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\}\]\[E=\{HHH,HHT,HTH,THH\};\]\[F=\{HHH,HHT,HTH,HTT\}\] \[E\cap F=\{HHH,HHT,HTH\};n(E\cap F)=3,n(F)=4\]\[\therefore \] Reqd prob. \[=P\left( \frac{E}{F} \right)=\frac{n(E\cap F)}{n(F)}=\frac{3}{4}\]


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