Since I got into grad school to study computer sicence, I have been a T.A. and mid-term procter.
Plus, I should check students answering sheets.
To make answers, I would like to check the equation true which is
$P(A\cap B|C) = P(A|C)P(B|C)$ while A, B are independent.
I think that is true.
But I am still little bit not sure.
If that is true, could you prove why?
Thank you for helping in advance.