JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    The probability that a leap year selected randomly will have 53 Sundays is [MP PET 1991, 93, 95; Pb. CET 2002]

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

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

    C)                 \[\frac{4}{53}\]    

    D)                 \[\frac{4}{49}\]

    Correct Answer: B

    Solution :

               A leap year contain 366 days i.e. 52 weeks and 2 days, clearly there are 52 Sundays in 52 weeks            For the remaining two days, we may have any of the following two days.                    (i) Sunday and Monday, (ii) Monday and Tuesday,                    (iii) Tuesday and Wednesday, (iv) Wednesday and                    Thursday, (v) Thursday and Friday, (vi) Friday and                    Saturday and (vii) Saturday and Sunday.                                 Now for 53 Sundays, one of the two days must be Sunday Hence required probability \[=\frac{2}{7}.\]


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