If I have 3 variables defined as follows:

A, B as independent, uncorrelated values of 0 or 1
C defined as the logical AND of A&B, such that C=1 if and only if both
A & B =1, and 0 otherwise.

Example

A=1, B=0 then C=0
A=0, B=1 then C=0
A=0, B=1 then C=0
A=1, B=1 then C=1

My question is, what is the covariance (or how does one begin to
calculate it) between A and C ?


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