# Find the probability that a Leap Year hasi) 52 sundays ii)53 sundays

Total number of days in a leap year are 366 days

366 days = 364 days + 2 days

= 52 × 7 days + 2 days

= 52 weeks + 2 days

(i) There are 52 weeks in a leap

∴ 52 weeks must have 52 Sundays.

Hence the probability of 52 Sundays = 1

(ii) A leap year has 366 days which is equal to 52 weeks and 2 days.

These 2 day can be any of the following :

(i) Sunday and Monday

(ii) Monday and Tuesday

(iii) Tuesday and Wednesday

(iv) Wednesday and Thursday

(v) Thursday and Friday

(vi) Friday and Saturday

(vii) Saturday and Saturday

Number of favourable outcomes = 2 (Sunday and Monday, Saturday and Sunday)

Total number of outcomes = 7

∴ Probability that a leap year has 53 Sundays

• 28
1. 52 sundayz = 1/7
2. 53 sundayz = 2/7
• -7

Number of days in a leap year = 366

= 52 weeks and 2 days

52 weeks have 52 Sundays. 2 Days are remaining. These 2 days can be arranged as follows:

1: Sunday Monday

2: Monday Tuesday

3: Tuesday Wednesday

4: Wednesday Thursday

5: Thursday Friday

6: Friday Saturday

7: Saturday Sunday

So, there 7 possible ways to arrange these 2 days.

As there are 5 such cases, where neither of the days are Sunday, so number of favorable events(not Sunday) = 5.

∴ Required probability

ii)

thumbs up for the first ans... plz

• 11

1)52 Sundays:

A leap year has 365 days= 52weeks=7days( 1 day is extra)

Favourable Outcone - Sunday=1
Possible Outcome - Mon., Tue., Wed., Thu., Fri., Sat., Sun.=7
So the probability that, that one extra day is Sunday is simply 1/7.

2)53 Sundays:

It will be 1/7 as by dividing 365 days by 7 we will get only 1 as remainder so this one can be any of the day of the week.therefore it will be 1/7. Therefore probability of 53 Sundays is  1/7.

Hope it helps!!

• -11

am sorry my second outcome(answer) is wrong...and Avinash for your kind information, leap year has only 365 days...

• -14

Dear Akshaya , Frankly telling you , Leap year has 366 days , not 365 days.. :))

• -2

in a leap year there are 366 days

366days=52 weeks and 2 days

thus, a leap year has 52 weeks, then the no. of sundays in one of the week selected from the 52 weeks will be1

(sunday, monday, tuesday, wednesday, thursday, friday, saturday)

thus the probability of 52 sundays in a leap year is 1/7

2.  366days=52 weeks 2 days

the remaining 2 days can be:

sunday and monday, mon and tues, tues and wed, wed and thurs, thurs and fri, fri and sat, sat and sun

thus, favourable no. of elementary events=2

hence, required probability=2/7

• 1

ohh...am sorry Avinash :(....am wrong...thansk for correcting me...!!

• -8

i think avinash is correct and II) is 2/7 as there are 2 outcomes to befor sure 53 sundays .....

HOPE IT HELPS ......

THUMBS FOR ME AND AVINASH PLZ....... BUY  BUDDY

• -3

HAVE YOU GOT THE SECOND ANSWER....

• -1
What are you looking for?