10th Class Mathematics Probability Question Bank MCQs - Probability

  • question_answer
    What is the probability that a randomly taken Leap year has 52 Sunday?

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

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

    C) \[\frac{5}{7}\]

    D) None of these

    Correct Answer: C

    Solution :

    [c] A leap year has 52 Sunday and 2 other days. they may be Sunday-Monday. Monday-Tuesday, Tue-wed. Wed-Thur.
    \[\therefore \] No. of all possible outcomes =7
    Here. two cases out of seven have Sundays    
    i.e., Sunday-Monday or Saturday-Sunday.
    If these two days are known then No. of Sundays would be 53. So leave these cases from possible outcomes and get favourable outcomes.
    \[\therefore \] No. of favourable outcomes \[=7-2=5\]
    So, Probability \[=\frac{\text{No}.\text{ of fav}.\text{ outcomes}}{\text{All possible outcomes}}=\frac{5}{7}\]


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