We can consider two cases. Fitting 2 RandomForestClassifiers 500 trees each and average their predicted probabilities on the test set or we can fit a RandomForestClassifier with 1000 trees and use it to get test set probabilities. All hyperparameters are the same for all models.

what could be the possible variations in results for both cases !!!

I guess the result will be close for both cases as in random forest every tree is independent.

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