How in the world would a person calculate the odds here? You may have 10,000 pilots with fATPL but not all of them will apply for a job with Airline X because some of them prefer Airline Y. A lot of other factors would determine whether an applicant goes for a job or not, so the odds can change all the time. You may start out with 1,000 to 1, but then if the airline wants first-time passers with high grades, then that may narrow it down to 400 to 1. Then you have the attitude/aptitude tests which then narrows it down to 200 to 1. And so on. So I think it's impossible to calculate the odds, but this is just from an outsider's point of view. Someone will be sure to point out if I'm wrong.
@ OP: I wonder why you want to know the odds? In my mind, who cares if the odds are 5 to 1 but you don't get the job or the odds are 10,000 to 1 but you get the job?