I'm not sure if there is a term for what I'm trying to calculate, but imagine that there is a game where a win rewards you x points and a loss rewards you y points. If you happen to know that your win rate w for this game is 70%, how can you calculate what the average reward will be? What is that formula?
2026-04-03 14:31:06.1775226666
How to calculate this average?
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I think I figured it out by myself? Is this the correct formula?
$$x̄ = x\cdot w + y\cdot(1 - w)$$