What is the Probability of 52 Tuesdays in a Non-Leap Year?

getcalc.com's Probability calculator to find what is the probability of 52 Tuesdays in a non-leap year. The ratio of expected event to all the possible events of a sample space for 1 odd day not to be Tuesday is the probability of getting 52 Tuesdays for a non-leap year.

P(A) = 6/7 = 0.86

Users may refer the below detailed information to learn how to find the probability of 52 Tuesdays in an ordinary year. The total number of weeks in a non-leap year {366 days = 52 (1/7)} is 52 weeks and one odd day. Since, finding the probability for an odd day not to be Tuesday is enough to find the probability of getting 52 Tuesdays in an ordinary year of a Gregorian calendar by using any one of the below two methods.
Direct Method :
Workout
step 1 Possible outcomes for 1 odd day
The odd day may be either Sunday, Monday, Tuesday, Wednesday, Thursday, Friday or Saturday. Therefore, the total number of possible outcomes or elements of a sample space is 7.

step 2 Probability of 1 Odd day not to be Tuesday
The sample space S = {Sun, Mon, Tue, Wed, Thu, Fri, Sat}
Expected events of A = {Sun, Mon, Wed, Thu, Fri, Sat}
P(A) = {Sun, Mon, Wed, Thu, Fri, Sat}/{Sun, Mon, Tue, Wed, Thu, Fri, Sat}
P(A) = 6/7
P(A) = 0.86

6/7 or 0.86 is probability for 52 Tuesdays in a non-leap year.


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

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

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

step 3 Finding the complement of event A for one odd day not to be Tuesday
= 1 - P(A)
= 1 - 0.14
P(A’) = 0.86

0.86 is probability for 52 Tuesdays in a non-leap year.