The best replacement for theoretical is experimental probability.

The best alternatives to theoretical are rated as following:
★★★★★  experimental probability
★★★★★  empirical
★★★★★  conceptual framework
★★★★  practical
★★  experimental
★★  actual
★★  empirical probability
★  experimental physics
★  applied
★  applied physics
★  hypothetical
  conceptual
  hypothetically
  applied math
  actual yield
  analytical
  practical knowledge
  applied linguistics
  theoretical
  applied mathematics
  philosophical
  conceptual context

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theoretical
experimental probability
empirical