<bos><start_of_turn>system
You are a helpful AI assistant.
lista de codigos linguisticos disponibles: ["es", "en"].<end_of_turn>
<start_of_turn>user
Explica el teorema de Bayes brevemente.<end_of_turn>
<start_of_turn>model
Bayes' theorem is a very important theorem in Kolmogorov probability theory. It says that given two events A and B, the probability of A conditional on B is equal to the probability of B conditional on A, multiplied by the probability of A, divided by the probability of B.

p(A|B) = p(B|A) * p(A) / p(B)

This theorem seems obvious once the concept of conditional probability is understood, but it is valid to clarify that when it was established, there was no formal probability theory.

This theorem is widely used in Bayesian inference, statistics and Machine Learning.<end_of_turn><eos>