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If R.V. A is independent of a random vector (B,C), is A necessarily independent of C?

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    Write down the definition of independence, and you will successfully formalize a result quite intuitively obvious (if you are independent of what happens to $(B,C)$, you are independent of what happens to $C$).2012-10-22
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    By the way, welcome to math.stackexchange.2012-10-22
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    Thank you, I integrated both sides of the definition over variable B to get the result.2012-10-22
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    You can answer your own question.2012-10-22

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