How to solve this problem in statistical point of view



I have a simple question about estimation:

Suppose I have a sample set of N samples, let me call it SS1. From SS1
I have estimate a probability of an event e, let me call it p(e, SS1).
How can I estimate the probability of this event e in a larger sample
set of M samples, where M > N, let me call it SS2. The question is
simply as if I know p(e, SS1), estimate p(e, SS2).

In this problem, I don't know how SS2 looks like. The only information
I know about SS2 is the number of samples(or the scope of SS2). In
order to answer this question, I think I must assume that the
probability distribution of e is the same in SS1 as in SS2. I know
everything about SS1.

Thank you very much.

.



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