Question: What is the highest possible value for this equation? Each component is conditional probability. P(HT|WT) + P(WT|HT) + P(G U E U R | HT)

What is the highest possible value for this equation? Each component is conditional probability.

P(HT|WT) + P(WT|HT) + P(G U E U R | HT) + P(G U E U R | WT) + P(WT | G U E U R ) + P(HT | G U E U R ) + P(G | E U R) + P(E| G U R) + P(G | R U G) = value

For context, HT is height of a person, WT is weight, G is gender, E is employment status, R is region.

So each of these conditional probabilities asks - in a given pool of people, what is the probability that a person who is heavy is tall? etc..

I am wondering what the maximum value for the sum of each of these probabilities is. Is it 9?

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