JEE Main & Advanced Mathematics Question Bank Critical Thinking

  • question_answer
    One of the two events must occur. If the chance of one is 2/3 of the other, then odds in favour of the other are

    A)                 2 : 3       

    B)                 1 : 3

    C)                 3 : 1       

    D)                 3 : 2

    Correct Answer: D

    Solution :

               Let \[p\] be the probability of the other event, then the probability of the first event is \[\frac{2}{3}p.\] Since two events are toally exclusive, we have \[p+\left( \frac{2}{3} \right)\text{ }p=1\Rightarrow p=\frac{3}{5}\]                                 Hence odds in favour of the other are \[3:5-3,\] i.e. \[3:2\].


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