We can compute probabilities using a chain rule as follows:

P(A &and B &and C) = P(A | B &and C) * P(B | C) * P(C)

If some conditions C₁ &and ... &and C_n are independent of other conditions U, we will have:

P(A | C₁ &and ... &and C_n &and U) = P(A | C₁ &and ... &and C_n)

This allows a conditional probability to be computed more easily from smaller tables using the chain rule.

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