Question about ensemble probability I am creating an ensemble classifier consisting of 5 different classifiers. Each of these individual classifiers has an accuracy of 80%. What then, will be the accuracy of the ensemble classifier? My professor said that it would be around 94%. And, he said that we are free to assume that each of the individual classifiers is independent. Going by this SE post, I multiplied all the individual accuracies and got a final accuracy of 32.78% - different than what the professor got. Could someone please explain how the professor got his accuracy? (Cannot ask him since he's currently unavailable). Also, as you might have guessed, I am new to probability. Hence, requesting the help. Thanks!

Since the classifiers are independent and there is no information to suggest some are preferred over others, the ensemble classifier is the majority decision of the 5 classifiers. The ensemble accuracy is therefore the probability that 3 or more of the 5 classifiers make the correct classification. The number of classifiers that make the correct classification is given by the binomial distribution with 5 trials and success probability 0.8. Sum that distribution from 3 to 5, and you will get 0.94208.