JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    The chance of India winning toss is 3/4. If it wins the toss, then its chance of victory is 4/5 otherwise it is only 1/2. Then chance of India's victory is [Kurukshetra CEE 1998]

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

    B)                 \[\frac{3}{5}\]

    C)                 \[\frac{3}{40}\]    

    D)                 \[\frac{29}{40}\]

    Correct Answer: D

    Solution :

               There are two mutually exclusive cases for the event.            \[A=\] India wins the toss and wins the match.            \[B=\] India losses the toss and wins the match                 \ Required probability                                                                                                 \[=P(A)+P(B)=\frac{3}{4}\times \frac{4}{5}+\frac{1}{4}\times \frac{1}{2}=\frac{29}{40}\].


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