Calculators & Converters

    What is the Probability of 53 Sundays in a Non-Leap Year?

    Probability Calculator

    getcalc.com's Probability calculator to find what is the probability of 53 Sundays in a non-leap year. The ratio of expected event to all the possible events of a sample space for 1 odd day to be Sunday is the probability of getting 53 Sundays for a non-leap year.
    P(A) = 1/7 = 0.14

    How to find probability of 53 Sundays in a non-leap year?

    Users may refer the below detailed information to learn how to find the probability of 53 Sundays in an ordinary year. The total number of weeks in a non-leap year {365 days = 52 (1/7)} is 52 weeks and one odd day. Since, finding the probability for an odd day to be Sunday is enough to find the probability of getting 53 Sundays in an ordinary year of a Gregorian calendar.


    Workout
    step 1 Possible events for 1 odd day
    The odd day may be either Sunday, Monday, Tuesday, Wednesday, Thursday, Friday or Saturday. Therefore, the total number of possible outcome or elements of sample space is 7.

    step 2 Probability of 1 Odd day to be Sunday :
    The sample space S = {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}
    Expected event of A = {Sunday}

    P(A) =
    {Sunday}/{Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}
    P(A) = 1/7
    P(A) = 0.14

    0.14 or 1/7 is probability for 53 Sundays in a non-leap year.

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