My google fu has failed me to find a method for this. I would assume there is a deterministed equation for what I'm trying to do but maybe it's more complicated than I am thinking.
I have two binary outcomes A and B, and I want to determine the probability of each scenario:
A=1, B=1
A=1, B=0
A=0, B=1
A=0, B=0
From my dataset, p(A)=0.56, p(B)=0.39 and correlation between them is -0.66. Is this enough information to determine the probability of the 4 possible scenarios? I'm a number of years out of any stats classes, so need a bit of help to get going in the right direction.