366 days in a leap year
364 days in 52 weeks
in a leap year there will be two weekdays that occur 53 times
so probability will be 2/7 of getting 53 tuesdays !!
- 7
want explanation ?
Number of tuesdays = 52 ( As 52 x 7 = 364 )
So , for the leap year we get two more days .
Now , we can get 53 tuesdays . if the two days are either monday nd tuesday or tuesday nd wednesday
Therefore required Probability of 53 tuesdays = 2/7
- 2
See yaar
There are 366 days in a leap year !
1 tuesday in 1 week
Number weeks = 52 weeks ...
but 2 days left
52 weeks so 52 tuesdays
Remaining 2 days ..derz a possibility of getting tuesday on the 365th day or 366th day
But there are 7 days ( sun mon tues wed thu fri sat ) in a week
The two days can be in any combination as
sun , mon
mon , tues
tues wed
etc etc
The last 2 days can be any consequtive days
we want tuesday The possible outcomes are either the 1st day as tuesday or next day
The two combinations
Mon tue nd Tue wed
contains tue ..
So 2 favourable outcomes der are totally 7 outcomes
so The probablity = 2 / 7
Any doubtzzz
- 46
Since there are 366 days in a leap year .
Number of tuesdays = 52 ( As 52 x 7 = 364 )
So , for the leap year we get two more days .
Now , we can get 53 tuesdays . if the two days are either monday nd tuesday or tuesday nd wednesday
Therefore required Probability of 53 tuesdays = 2/7
- 4
There are 53 Tuesdays in a leap year if it starts on a Monday or Tuesday.
This can't happen in 2/7 of all leap years, because the distribution of leap years and first-days-of-the year repeats every 400 years. There are 97 leap years in each such period, which is not a multiple of 7.
More precisely, in every 400-year period,
- 13 leap years start on a Monday
- 14 leap years start on a Tuesday
- 14 leap years start on a Wednesday
- 13 leap years start on a Thursday
- 15 leap years start on a Friday
- 13 leap years start on a Saturday
- 15 leap years start on a Sunday
So the probablility that a leap year chosen uniformly among the leap years in a cycle starts on a Monday or Tuesday (and so contains 53 Tuesdays) is
(13+14)/97= 27/97
- -3
its easy in a leap year there are in total 5 weeks and 2 days are extra
so this two days can be in 7 combinations (since there r 7 days in a week)
they r -mon,tues
tues,wed
wed,thurs
thurs,fri
fri,sat
sat,sun
sun,mon
so we have two outcomes where we can get tuesday
so the probability is 2/7
- 0