Which of these sockets are in the right place? (If any)

[ebee]

No, not the first entrant's, just any two people.

No, not the first entrant's, just any two people.

No sorry,
I meant, one person goes into room and has a birthday and we note it as a certain day and a certain month, we avoid leap years for clarity of purpose.
We can now assign that birthday as being any day of the year and we count them as any number from 1 to 365.
Now 1 person at a time enters the room and we check that teir allotted birthday number will not be the same number as any one already in the room.

That way we check that any 2 (or more) do not share the same birthday number and we up the score every time that happens.

Easy with a computer program by repeated use of subroutines.
We can compare each room full it happens and also how many times we get such a match.,
The figure I got was around 28 the vast majority of the times (once the initial 1 person was in) and frequently it happened more than once either with different or the same birthday sets. obviously a match of two was most common but matches of 3, 4, 5 etc did happen quite a few times too. It was quite rare for it not to happen at all.

 

[SUNRAY]

At High School our classe sizes were mid 20's, working with probability we did a class survey and found no coincidences of birthdays, the same was true for the other 2 classes in our year and only one coincidence across the year of 3 classes. Due to the unexpectedly low result we did a schoolwide birthday survey. I simply can't recall figures but by class the stats generally remained unexpectedly low (excect one year) , by year was fairly close to expectations but total was crazyily high with multiples per date and significantly higher than expected empty days on the calender. The only details I recall are 4 & 5 for my Birthday in May and Christmas day, both statistically high from a sample of mid 500s. Especially as IIRC Christmas day is usually considered to have the lowest number of births.

 

[morqthana]

we check that teir allotted birthday number will not be the same number as any one already in the room.

That's not the same as

match a birthday with the first entrants birthday at least once.

 

[ebee]

That's not the same as

Yes I "Misspoke it" (Well if Hilary Clinton can try use that phrase to deceive then surely I can use it as to point out my humble mistake of sloppy usage of words, sorry sorry sorry sorry, three hail mary`s etc but please forgive my sin of slopy use of language?)
I said what I said rather than what I meant

 

[morqthana]

Been there....