Multiple Choice Questions on An unbalanced dice with 6 faces numbered from 1 to 6 is thrown The probability that the face value i........... for NDA Exam Preparation

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Multiple Choice Questions

An unbalanced dice with 6 faces numbered from 1 to 6 is thrown The probability that the face value i...........

Mathematics (NDA) Probability
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    An unbalanced dice (with 6 faces, numbered from 1 to 6) is thrown. The probability that the face value is odd is 90%. The probability of getting any even-numbered face is the same. If the probability that the face is even given that it is greater than 3 is 0.75, which one of the following options is closest to the probability that the face value exceeds 3?

    0.6

    Incorrect Answer

    0.468

    Correct Answer

    0.5

    Incorrect Answer

    1

    Incorrect Answer
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    Explanation:

    given p(odd)=0.9 p(even)

    ∑ p(x)=1

    P(odd)  +p(even)=1

    0.9 p(even)+p(even)=1

    P(even )=1/1.9

    =0.5263

    It  is given that p is same

    P(2)=p(4)=p(6)

    P (even)=p(2)  or p(4)  or p(6 )=p(2)+p(4)+p(6)

    P(2)=p(4)=p(6)=1/3 p(even)

    =1/3 (0.5263)=0.1754

    Given that p(even |face>3)=0.75

    P(even  ?face >3)/p(face>3)=0.75

    P(face  =4.6)/p(face>3)   =0.75

    P(face  >3)=p(face =4.6)/0.75

    =p(4) +p(6)/0.75

    =(0.1754  +0.1754)/0.75

    =0.468

    By: bhavesh kumar singh
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