JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    A fair coin is tossed repeatedly. If tail appears on first four tosses then the probability of head appearing on fifth toss equals                                               [IIT 1998]

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

    B)                 \[\frac{1}{32}\]

    C)                 \[\frac{31}{32}\]  

    D)                 \[\frac{1}{5}\]

    Correct Answer: A

    Solution :

               Appearance of head on fifth toss does not depend on the outcomes of first four tosses. Hence                 \[P\](head on 5th toss) \[=\frac{1}{2}.\]


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