what is the law of iterated expectation why do we take iteration out in math why take out an expected value how is value calculated in iterated expectations? why is $X_1$ a iterated expectation when are the inner expected values taken out of the inner expected value? how does x-1 differ from x_1 why is iterated expectation the same as inner expected value which of the following is a law of iterated expectations why do we take out $x what is the law of iterated expectations does iterate expectation take out the outer expected value what is the law of iterated expectations why use iterated expectation law of iterated expectations why take out the inner expected value from the inner expected value? why is the inner expected value the same as the outer expected value what is the law of iterated expectations why does iterate expectation have value? what is the law of iterated expectations