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Suppose we have a box of 20 marbles, 5 of which are red and 15 of which are blue. We randomly pick a marble from the box without looking, and we want to calculate the probability that the marble is red, given that it is round. Let's say we know that 3 out of the 5 red marbles are round, and 8 out of the 15 blue marbles are round.
# Prior probability of the marble being red p_red = 0.25 # Likelihood probability of the marble being round given it is red p_round_given_red = 0.6 # Likelihood probability of the marble being round given it is blue p_round_given_blue = 8 / 15
Let's use Bayes' theorem to calculate the probability of the marble being red given that it is round. Store the result in
Let's evaluate the performance of the classifier by comparing its predictions to the true labels of the testing data.
Store the accuracy in