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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2013

  • question_answer
        If a dice is rolled 4 times, then the probability of getting a larger number than the previous number each time is

    A)  \[x+\sqrt{3}y=3\]                           

    B)  \[\sqrt{3}x+y=3\]

    C)  \[x+y=\sqrt{3}\]                             

    D)  None of these

    Correct Answer: B

    Solution :

                    \[\because \]\[n(S)=6\times 6\times 6\times 6={{6}^{4}}\] Number of favorable ways\[{{=}^{6}}{{C}_{4}}=\frac{6\times 5}{2}=15\] \[\therefore \]Required probability \[=\frac{15}{6\times 216}=\frac{5}{2\times 216}=\frac{5}{432}\]


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