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HKY85 model

Like the K2P model, the Hasegawa, Kishino and Yano (1985) model assumes that transitions and transversions can happen at different rates. But the HKY85 model also allows the four bases (A, C, G, T) to occur with different frequencies.

Question: what is the probability that the observed pattern on the right could be generated by the HKY85 model on the left?