MathematicsWhat is the probability that a leap year will have 52 Mondays?

What is the probability that a leap year will have 52 Mondays?


  1. A
    27
  2. B
    47
  3. C
    57
  4. D
    67 

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    Solution:

    We have to find the probability that a leap year will have 52 Mondays.
    We know that leap year has 366 days.
    Number of weeks n(S)=7
    Number of weeks in a leap year=3667
    Number of weeks in a leap year=52.28
    It means 52 weeks and 2 days approx. [7 days = 1 week]
    The 2 days can be Monday, Tuesday, Wednesday, Thursday, Friday, Saturday or Sunday.
    The number of combinations where 2 days can't have Monday will be 5.
    Probability=Number of favorable outcomesTotal number of outcomes
    Probability=57
    The probability that a leap year has 52 Mondays is equal to 57.
    Hence, the correct answer is option 3.
     
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