JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    The probability that a leap year will have 53 Fridays or 53 Saturdays is                                       [MP PET 2002]

    A)                 \[\frac{2}{7}\]       

    B)                 \[\frac{3}{7}\]

    C)                 \[\frac{4}{7}\]       

    D)                 \[\frac{1}{7}\]

    Correct Answer: B

    Solution :

               There are 366 days in a leap year, in which 52 weeks and two days, The combination of 2 days ?            Sunday ? Monday, Monday ? Tuesday, Tuesday ? Wednesday, Wednesday ? Thursday, Thursday ? Friday, Friday ? Saturday, Saturday ? Sunday            P(53 Fridays) = \[\frac{2}{7}\];  P(53 Saturdays) \[=\frac{2}{7}\]            P(53 Fridays and 53 Saturdays) \[=\frac{1}{7}\]            \ P(53 Fridays or Saturdays) = P(53 Fridays) + P(53 Saturdays) ? P(53 Fridays and Saturdays)                 \[=\frac{2}{7}+\frac{2}{7}-\frac{1}{7}\] \[=\frac{3}{7}\].


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