Find the Probability of a Leap Year having 53 Sundays

By BYJU'S Exam Prep

Updated on: September 25th, 2023

The Probability of a Leap Year having 53 Sundays is 2/7. Probability determines how likely something is to happen. The formula to calculate the probability is-

Probability = Favourable Outcomes/Total Outcomes

Probability is a branch of mathematics that deals with quantifying the likelihood or chance of an event occurring. It measures the possibility of an outcome within a given set of possibilities. Probability is expressed as a value between 0 and 1, where 0 represents impossibility (an event that will never occur) and 1 represents certainty (an event that will definitely occur).


What is Probability?

Probability is the ability for events to occur. The subject of this area of mathematics is the occurrence of random events. It is expressed between 0 to 1. To forecast how likely events are to occur, probability has been introduced in mathematics. The degree to which something is likely to happen constitutes the definition of probability.

For example, if you toss a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads is 1 out of 2, or 1/2 since there is one favorable outcome (getting heads) out of the two possible outcomes (getting heads or tails).


In a leap year, there are 366 days. To find the total number of weeks in that year divide 366 by 7 (as a week contains 7 days) and we get 2 as Remainder and 52 as Dividend. It indicates there will be 52 weeks and 2 extra days in a leap year.

The possibilities for two extra days will be: (Monday, Tuesday), (Tuesday, Wednesday), (Wednesday, Thursday), (Thursday, Friday), (Friday, Saturday), (Saturday, Sunday) and (Sunday, Monday). The total outcome is 7 whereas the favorable outcome is 2. Hence, the probability of a leap year having 53 Sundays is 2/7.


Find the Probability of a Leap Year having 53 Sundays

The probability of a leap year having 53 Sundays is 2/7. Probability can be calculated by using the formula Probability = Favourable Outcomes/Total Outcomes. Probability can also be expressed as a percentage or a fraction. A probability of 1/2 can be written as 50% or 0.5.

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