There are extensive resources on the internet and in this forum discussing the famous birthday paradox. It is clear to me how to calculate the probability of two people sharing a birthday i.e. P(s)=1-P(d). However i can't find any hints when it comes to estimating a probability without using formulae. Here goes:
I need to estimate a probability through trials. For each trial i generate two random birthdays. We know that, for each individual trial, the probability of a match is 1/365.
If i run this trial 10 times, and i observe that 3 times the birthdays matched, how do i relate that finding (a ratio 3/10) to 365?
note: this is homework