I am curious if there is a way to approximate the variance of the sum of cards out of a 52 card deck.
Assume A = 1, J = 11, Q = 12 and K = 13
For example the variance of one card is 14. The variance of the sum of two cards however will already become more instensive if you were to calculate it by hand/head.
The minimum value is AA = 2 and the maximum value is KK = 26. The mean is (2)(7) = 14. Do you know of any way to approximate th variance with and/or without replacement without writing it all down? If not, how would you do it?