What Constitutes the Sample Space in a Birthday Probability Problem?

[FrogPad]

Question:
Find out the birthday (month and day but not year) of a randomly chosen person. What is the sample space of the experiment. How many outcomes are in the event that the person is born in July?

Attempt:

We first must define the sample space. This is how I did it,

S = {JAN1, JAN2, ... , JAN31, FEB1, FEB2, ..., FEB28, ..., OTHER_MONTH_DAY_COMBINATIONS}

This can't be how I define it is it? This is not elegant in any way shape or form. Would someone push me in a better direction.

Now for the next question:
How many outcomes are in the event that the person is born in July?

There is 31 July outcomes.

 

[mattmns]

I believe it is that ugly, but you forgot something; people can be born on February 29th (leap years)

 

[FrogPad]

I believe it is that ugly, but you forgot something; people can be born on February 29th (leap years)

:) - stupid leap years will get you every time.

Thanks mattmns, I appreciate the help!