What is its conditional distribution on a great circle?

This means that under the above independence assumptions, the conditional distribution over the class variable is:

Given that the point lies on a given plane, what is its conditional distribution?

In other words, the joint distribution factors into a product of conditional distributions.

A conditional distribution can be formed from a generative model through Bayes' rule.

Their conditional distributions are assumed to be binomial or multinomial.

Often these conditional distributions include parameters which are unknown and must be estimated from data, sometimes using the maximum likelihood approach.

The conditional distribution of the categorical variables dependent only on their parents and ancestors would have the identical form as above in the simpler case.

Furthermore, we cannot reduce this joint distribution down to a conditional distribution over a single word.

This contrasts with a conditional distribution, which gives the probabilities contingent upon the values of the other variables.