Given a variable x, with dom(x) = {1,0}
p(x = 1) refers to the probability of variable x to be in state '1'
p(x = 0) refers to the probability of variable x to be in state '0' = 1 - p(x = 1)
- What does it mean by p(x)?
Also, given a distribution
p(a,b,c,d,e) = p(d|a,b)p(e|c)p(a)p(b)p(c)
dom(a) = dom(b) = dom(c) = dom(d) = dom (e) = { 0 , 1 }
If one is asked the p(a = 1) given an observation that b = 1.
We solve this (if i am not mistaken): p(a=1|b=1) = p(a=1,b=1)/p(b=1) = marginalizing over variables c,d,e p(a=1,b=1,c,d,e) / marginalizing over variables a,c,d,e p(a,b=1,c,d,e)
Similarly, how do you interpret the statement p(a|b=1) in this context?
Been wondering about this for weeks now. o.O