Chances of 2 people sharing a birthday=50%?

I know that. But what does confirmation bias have to do with it?

hmm i dont think its that rare, i have a friend who has the same birthday as his brother and the were bron 2 years apart.

I have the same birthday as my aunt
My gf has the same birthday as my best mate

in fact i know many people who share the same birthday, some born in the same hospital on the same day and same year

I’ve never met anyone with the same birthday as myself (although I hear Cher shares it). On the other hand, I’ve never went around asking my classmates their birthdays.

First of all. A classroom of kids is not a random sample. Since it is a classroom the odds are nearly 100% that they will be the same age. So the birth year is practically a given. There are other restrictions in a classroom setting which increases the odds of an exact month. Cuttoff months and days for advancement as an example. I don’t recall the exact month but there is usually a specific date that is the cutoff date for the age at which a child can start school.
All of that aside…
the biggest variable which can be applied to even a random sample is the fact that there are times when people simply have sex more often than others. Like Valentine’s day for instance. Practically every new married couple is going to have sex on Valentines Day. Combine all these things and the odds are increased that two kids in a classroom will have the same date of birth.
somewhere in mid-late October. Then there’s June newliweds and Christmas etc. but V-tines is the biggie.
In my own family (extended as well) there are at least a dozen birthdays that month.

Sorry…that should’ve been November…you know about nine months after Valentines day sheesh…
sleep…get some sleep… :smack:

I meant to add …I remember why I was thinking October now. There’s another big cluster nine months after New Years Eve. A really big cluster because of so many folks getting drunk and romantic etc…
and forgetting to do anything about their birth control.

The 25% figure doesn’t measure an exact match, just from the 365 dates of a (non-leap) year. For an “exact” match, you’d have to compile demographic information and make the assumption that the people in the group are selected truly randomly (i.e. they not members of a class or peer group or anything else which would put them all of a particular age).

At this point, it gets exceedingly complicated, as multivariate statistics loves to do, so I’ll just add some extra assumptions to make it workable:
[ul][li]Everyone is American[/li][li]Everyone in the group is known to be at least 20 years old and less than 70 years old [/ul][/li]
Relevant informtion from the 2000 census, dividing the U.S. population into groups by age:



20- 24    19,185,063     
25- 29    19,316,817   
30- 34    20,587,073   
35- 39    22,648,354     
40- 44    22,535,368   
45- 49    20,230,558     
50- 54    17,790,616     
55- 59    13,559,151  
60- 64    10,864,730 
65- 69      9,533,955

These people have birthdays across a fifty-year span, representing 18,264 birthdays. Trouble is, the numbers show that these birthdays are not evenly distributed among this population. The 50+ groups show a marked decline in numbers (for obvious reasons). So just for laughs let’s eliminate them and assume everyone in the sample is 20-49, whose numbers are reasonably consistant.



20- 24    19,185,063     
25- 29    19,316,817   
30- 34    20,587,073   
35- 39    22,648,354     
40- 44    22,535,368   
45- 49    20,230,558

This thirty-year span now comprises 10,963 birthdays, and we’ll assume for simplcity that they’re evenly distributed (they obviously aren’t, but bear with me).

The odds of two out of 15 randomly-selected persons sharing an exact birthday are as follows:

1 - (10963!) / (10963-15)! (10963[sup]15[/sup])

~= 1 - 0.9905

= 0.0095, or less than one percent.

You’d have to sample 124 people before the odds of getting a match were more than 50%, which I’ll admit sounds low, but the math seems accurate enough.

Yeah, the ozzie temp who shared my birthday said we were probably both conceived around New Years or possibly on it. Not that I like to think when or where my parents are at it, but nice to know that I was born of good spirits as the ozzie chick put it :cool:

I don’t believe it at all.

I have our church directory, which lists everyones birthdays.
There are about 160 members.
No one has the same birthday.

vanilla, the chances of that happening are 0.000000000000000099671433849300578506753494359707 %. To be honest, I don’t believe you (unless your church has some strange policy, like not accepting new members if they have the same birthday as an already existing member). Maybe you should check the directory again.

But it just occurred to me, Vanilla, that maybe you’re not understanding the problem. The claims made in this thread are not about someone having the same birthday as you; the claim is that, out of the 160 people in your church directory, there will be two people with the same birthday (month and day, not necessarily year)–you, however, might not be one of those two people.

My secret has been revealed!

You better watch out, QtM. “We” have our agents everywhere, even in that prison of yours. :wink:

Yeah, I met one of your agents earlier this week. I removed two of his toenails! He’s now seen the error of his ways.

I dunno, one-in-a-quadrillion events do happen, like forming a lasting healthy romantic relationship with someone you met at a dance club.

Just kidding. Barring a specific no-matching-birthday policy, and even accounting for some possible bias (i.e. babies in that particular town who are born during certain months have greater chances of dying in infancy, i.e. in harsh winter conditions), it’s much more likely that there is a data error somewhere.

Whoops! If babies during certain months are more likely to die, than the odds are even longer. The kind of bias that might spread out the birthdays of a population could be from there being only one local obstetrician who uses various medical methods to delay or induce labour in his patients to make it unlikely he’ll ever have to deliver two babies in one day, plus he doesn’t work Mondays, wednesdays of Saturdays, or some damn thing.

Just a data point or three. I am in a group of 42 people with three pairs of same month/date birthdays.

My boss and I (the only two people in our company) discovered after working together for six months that we were both born on October 1.

What are the odds?

One in 365, assuming the key element is that you have the same birthday, not that it’s Oct. 1 in particular.

Technically, 100%.

What if the Oct. 1 part is important?

Before Fuji told us anything, the probability that he had a birthday of Oct. 1 was 1/365. The probability that his boss did was 1/365. The probability of both of these (1/365)^2 = 1/133,225 = 7.51 * 10^-6

In laymen’s terms: Very small.