Say I have a set of 10 values I want to draw 3 values from, uniformly, without replacement. For instance: $$S = \{0,0,0,0,22.95,0,0,0,19.125,25.5\}$$ With replacement, this seems simple, you just add all the values up and divide by $10$, giving $6.7575$, and multiplying by $3$ you get $20.2725$. However, if you don't replace values, I imagine it could effect the expected value, but uncertain how to figure out the specifics.

I guess thinking about it as discrete distributions means that the distribution changes every time a value is drawn, and maybe isn't the best way to think about this problem?