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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

  • question_answer
        The odds against a certain event is\[5:2\]and the odds in favour of another event is\[6:5\]. If both the events are independent, then the probability that at least one of the events will happens is

    A)  \[\frac{50}{77}\]                                             

    B)  \[\frac{52}{77}\]

    C)  \[\frac{25}{88}\]                                             

    D)  \[\frac{63}{88}\]

    Correct Answer: B

    Solution :

                    Let\[=\frac{41}{161}\]and\[P(B)=\frac{6}{11}\] \[\therefore \]The required probability                 \[=1-P(\overline{A})P(\overline{B})\]                 \[=1-\left( 1-\frac{2}{7} \right)\left( 1-\frac{6}{11} \right)\]                 \[=1-\frac{5}{7}\times \frac{5}{11}=\frac{52}{77}\]


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