what is the probability that a leap year has 53 sundays and 53 mondays?

- leap year has 366 days which is 52 weeks + 2 days there can be 53 sundays only when the last 2 days are
- (saturday , sunday or sunday monday) so P(53 sundays)= 2/7 as total there can be 7 cases similarly P(53 mondays) = 2/7 P(53 sundays or 53 mondays)= P(53 sundays union 53 mondays)
- = P(53 sundays)+ P(53 mondays) - P(53 sundays and 53 mondays) which is seen in only 1 case so P(53 sundays or 53 mondays)
- = 2/7+2/7-1/7 = 3/7

- 10

for a NON leap year: No of days = 365

No of week = 52Week +1 day

so first 52weeks will surely have a monday.

Event that a Monday will come on the remaining 1 day: n(E) = 1 [E= {Monday}]

Sample Space (no of Possibilities) n(S) = 7 [ S= {M,T,W,T,F,S,S} ]

Therefore P= n(E)/n(S) = 1/7

for a Non leap year: No of days = 366

No of week = 52Week + 2 days

so first 52weeks will surely have a monday.

Event that a Monday will come on remaining 2 days: n(E) = 2 [E = { (Sun,Mon) / (Mon,Tue) } ]

Sample Space (no of Possibilities) n(S) = 7

[S= { (Sun,Mon) (Mon,Tue) (Tue,Wed) (Wed,Thu) (Thu,Fri) (Fri,Sat) (Sat,Sun) }

Therefore P= n(E)/n(S) = 2/7..

No of week = 52Week +1 day

so first 52weeks will surely have a monday.

Event that a Monday will come on the remaining 1 day: n(E) = 1 [E= {Monday}]

Sample Space (no of Possibilities) n(S) = 7 [ S= {M,T,W,T,F,S,S} ]

Therefore P= n(E)/n(S) = 1/7

for a Non leap year: No of days = 366

No of week = 52Week + 2 days

so first 52weeks will surely have a monday.

Event that a Monday will come on remaining 2 days: n(E) = 2 [E = { (Sun,Mon) / (Mon,Tue) } ]

Sample Space (no of Possibilities) n(S) = 7

[S= { (Sun,Mon) (Mon,Tue) (Tue,Wed) (Wed,Thu) (Thu,Fri) (Fri,Sat) (Sat,Sun) }

Therefore P= n(E)/n(S) = 2/7..

- 37

A leap year has 366 days

So no: of weeks = 52

These 52 weeks surely have 52 sundays and 52 mondays

No: of remaining days = 2

These two days could be :

{(Sun,Mon), (Mon,Tue), (Tue, Wed), (Wed,Thur), (Thur,Fri), (Fri,Sat), (Sat,Sun)}

No: of favourable outcomes (i.e., the remaining 2 days are Sunday and Monday to make it 53 sundays and 53 mondays) = 1

Total possible ways = 7

Therefore, P(E) = 1/7

So no: of weeks = 52

These 52 weeks surely have 52 sundays and 52 mondays

No: of remaining days = 2

These two days could be :

{(Sun,Mon), (Mon,Tue), (Tue, Wed), (Wed,Thur), (Thur,Fri), (Fri,Sat), (Sat,Sun)}

No: of favourable outcomes (i.e., the remaining 2 days are Sunday and Monday to make it 53 sundays and 53 mondays) = 1

Total possible ways = 7

Therefore, P(E) = 1/7

- -1

In a leap year the no of days is 366, right. And we also know that in a year(365) there are 52weeks.

But there is one day extra in a leap year.

So that day can be any day of the week( sunday, monday, tuesday, wednesday, thursday, friday or saturday)

In a normal year we have 52mondays right.

The probability of having 53mondays in a leap year is 1/7

Because that one extra day may be any day of the week

But there is one day extra in a leap year.

So that day can be any day of the week( sunday, monday, tuesday, wednesday, thursday, friday or saturday)

In a normal year we have 52mondays right.

The probability of having 53mondays in a leap year is 1/7

Because that one extra day may be any day of the week

- 0

Dear student

Lencho went out to have the pleasure of feeling the rain on his body. He?eagerly waited for the rainfall in order to get good harvest and he became happy when it came. He compared the raindrops to new coins because the crop needed the rain badly and it was the sign of good harvest in future.

Lencho was satisfied because he thought that the rain would ensure him a good harvest and a good yield.

Draped?is the word in the extract means same as 'covered'.

He regarded?the field of ripe corn with its flowers? means that the field is occupied with ripen corn having flowers on it. And relate this field of ripe corn as?covered in a curtain of rain.

Hope it helps!!!

Regards to

Lencho went out to have the pleasure of feeling the rain on his body. He?eagerly waited for the rainfall in order to get good harvest and he became happy when it came. He compared the raindrops to new coins because the crop needed the rain badly and it was the sign of good harvest in future.

Lencho was satisfied because he thought that the rain would ensure him a good harvest and a good yield.

Draped?is the word in the extract means same as 'covered'.

He regarded?the field of ripe corn with its flowers? means that the field is occupied with ripen corn having flowers on it. And relate this field of ripe corn as?covered in a curtain of rain.

Hope it helps!!!

Regards to

- 0