It is the integral (or sum) of the joint probability distribution function of the two events, integrated over the domain in which the condition is met.
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The derivative of the moment generating function is the expectation. The variance is the second derivative of the moment generation, E(x^2), minus the expectation squared, (E(x))^2. ie var(x)=E(x^2)-(E(x))^2 :)
A conditional statement uses the words if... Then
I assume this is a trick question, and the answer is "everything". If you expect it, it is your expectation and if it is your expectation, you expect it.
If you mean probabilistic expectation, the answer is no.
A conditional statement may or may not be true.