Question

what is the probability that year selected at random is a leap year?

Answer 1

1 of every 4 consecutive years is a leap year.

Answer 2

it depends how many years youre looking at

Answer 3

Indeed.

Answer 4

so your ans is 1/4?

Answer 5

the probability is .25 that a given year is leap

Answer 6

shuba, can you help me with a problem?

Answer 7

Hmm?

Answer 8

shub, here

Answer 9

You;re right, it depends on how many years you have in the sample space.

Answer 10

this is like the question, what is the probability you pick saturday from the days of the week , which is 1/7

Answer 11

its not given how many years are in sample space.
btw i think the probability should be 1/2 as the year can be leap year or not.

Answer 12

so here the sample space is { leap , not leap, not leap , not leap } these are equally likely possibilities , so 1/4

Answer 13

well its like being asked, what is the probability a given day is saturday? it is 1/7

Answer 14

ok here is a better sample space

Answer 15

@perl why you consider that sample space contains only 4 year?

Answer 16

{ leap year, year after leap year, 2 years after leap year, 3 years after leap year}

Answer 17

Your logic is flawed @himanshu31 say you have to find a no. from (1,2,3,4,5) which is a multiple of 2 , so you'd say is is (1/2) ? since a no. is always divisible by 2 or not ?

Answer 18

these are the only possibilities, like { sat, sunday mon, tue, wed, thurs, fri, }

Answer 19

there are only 4 possibilities a year can be, its either a leap year, or its 1 year ahead of leap year, 2 years ahead of leap year, 3 years ahead of leap year

Answer 20

using this distinction let x = # of years ahead of leap year . then your years have only 4 possibilities . and these possibilities are equally likely

Answer 21

Okay since we going into depths, I'd like to point out that every year which is divisible by 4 is NOT a leap year

Answer 22

@shubhamsrg yeah got it..but what should be the answer?
@perl why are you considering only consecutive years?

Answer 23

I mean not all years divisible by 4 are leap.

Answer 24

himan, it doenst have to be consecutive

Answer 25

, but every year falls in some order between the last leap year and the next leap year

Answer 26

@perl i am saying on basis of your sample space

Answer 27

well , im trying to show its similiar to days of the week . but you dont have to put the days in order ,

Answer 28

There are 97 leap years in ever 400 leap years.

Answer 29

Thats the case we got to take,

Answer 30

To be exact the sample space should be considered. The duration of a solar year is slightly less than 365.25 days. Therefore corrections ate needed from time to time such as omitting 3 leap days every 400 years.

Answer 31

@perl then why only 4? you can have any number of years.

Answer 32

himan, its like picking a day , sunday, then monday is 1 day after, tuesday is 2 days after, etc

Answer 33

every year has 4 possibilities, its either leap , small leap, middle leap, big leap

Answer 34

@perl now this explanation seems right.