- #1

theone

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## Homework Statement

Does anyone know of a simple proof for this: https://s30.postimg.org/tw9cjym9t/expect.png

E(X) = E(X|S)P(S) + E(X|S_c)P(S_c)

X is a random variable,

S is an a scenario that affects the likelihood of X. So P(S) is the probability of the scenario occurring and and P(S_c) is the probability of the scenario not occurring