So P where P is Probability so P(X) = Prob(X) = P(X|I) = The Probability of Event X occurring:
how can you derive this from P(X) = P(X,Y) $\cap$ P(X,$\bar{Y}$)?
Thank you,
Note: sorry it should be P(X) in the first one, it's the same X. X and Y are events, so it is events $Y_1, Y_2,Y_3 ... Y_m = \{Y_k\}$
This ideally is the beginning of the marginalization equation to get $ \int_{-\infty}^{+\infty} prob(Y|X)\ dY = 1$.