Consider a network of the following type. A variable A, that is binary,
connects to three variables X1, X2, and X3 that are also
binary. The probability of A is 0.5, and
for all variable Xi we have the probability of Xi
given A is 0.2, and the probability of Xi given
knot A equals 0.6. I would like to
know from you the probability of A, given that
we observe X1, X2, and knot X3.
Notice that these variables over here are conditionally independent, given A.