JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    A box contains 6 nails and 10 nuts. Half of the nails and half of the nuts are rusted. If one item is chosen at random, what is the probability that it is rusted or is a nail [MP PET 1992, 2000]

    A)                 \[\frac{3}{16}\]    

    B)                 \[\frac{5}{16}\]

    C)                 \[\frac{11}{16}\]  

    D)                 \[\frac{14}{16}\]

    Correct Answer: C

    Solution :

               Total rusted items \[=3+5=8\,;\] unrusted nails \[=3\].                                 \[\therefore \] Required probability \[=\frac{3+8}{6+10}=\frac{11}{16}.\]


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