JEE Main & Advanced Mathematics Probability Question Bank Mock Test - Probability

  • question_answer
    A sample space consists of 3 sample points with associated probabilities given as \[2p,\,\,{{p}^{2}},\,\,4p-1\]. Then the value of p is

    A) \[p=\sqrt{11}-3\]

    B) \[\sqrt{10}-3\]

    C) \[\frac{1}{4}<p<\frac{1}{2}\]  

    D) none

    Correct Answer: A

    Solution :

    [a] \[{{p}^{2}}+2p+4p-1=1\]   (Exhaustive) \[{{p}^{2}}+6p-2=0\] Or \[p=-3\pm \sqrt{11}=\sqrt{11}-3\]


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