Question

Hello !!

Q) What is the probability of having 53 Mondays in a leap year ??

Class 10

Answer 1

Probability that leap year will have 53 Sundays is 2/7 i.e. probability that year will start with Saturday or Sunday. Probability that year is not a leap year is 303/400. Probability that non leap year will have 53 Sundays is 1/7 i.e. probability that year will start with Sunday.

Answer 2

Q.1) What is the probability of having 53 Mondays in a leap year ?

Step by step explanation :

We know that,

In a leap year, there are total 366 days. ( Extra 1 day in February ).

52 weeks = 52 × 7 = 364 days

Thus, We can say that,

There are 52 weeks + 2 days in an ordinary year.  But we can't exactly say which two days that are.

So, the outcomes can be :

(Sunday - Monday),( Monday-Tuesday), (Tuesday-Wednesday), (Wednesday-Thursday), (Thursday-Friday), (Friday-Saturday), (Saturday-Sunday.)

Thus, Total number of outcomes are 7.

Number of favourable outcomes are 2 days

Therefore,

Probability = 2/7

Probability of having 53 Mondays in a leap year is 2/7.

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