Bayes Posterior Three Hypotheses

Problem

Given prior probabilities and likelihoods for three mutually exclusive hypotheses, the posterior is prior_i * likelihood_i normalized to sum to one.

Given the priors and likelihoods, return the posterior list.

Hint

Multiply priors by likelihoods, then renormalize.

case 1

in: [[0.2,0.3,0.5],[0.1,0.5,0.2]]

expected: [0.07407407407407408,0.5555555555555555,0.37037037037037035]

case 2

in: [[1,0,0],[0.4,0.6,0.9]]

expected: [1,0,0]

case 3

in: [[0.25,0.25,0.5],[0.8,0.8,0.2]]

expected: [0.4,0.4,0.2]

Starter codePython

def bayes_posterior_three_hypotheses(priors, likelihoods):
    # Your code here
    pass

3 test cases · run your code against them in the editor