Combining Conditional Probabilities



Let say I know the probabilities of:

p(x|a,b)
p(x|b,c)
p(a), p(b), p(c), p(x)

How can I use this to say anything about:

p(x|a,b,c)

Obviously there is not enough information to fully
determine p(x|a,b,c), but I only need a reasonable
approximation.

Feel free to suggest any assumptions that would simplify
the problem enough to get some sort of answer.

What I know about probability isn't enough to solve
my problem. Intend to learn more soon, but for now
I would appreciate some help, thanks.

.



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