Total Probability

Problem

Total probability over a partition of hypotheses.

Given lists of prior probabilities and conditional probabilities, return sum(priors[i] * conditionals[i]). The two lists are assumed to have the same length.

Hint

Weight each conditional probability by its prior.

Test cases

case 1

in: [[0.3,0.7],[0.2,0.9]]

expected: 0.69

case 2

in: [[1],[0.4]]

expected: 0.4

case 3

in: [[0.5,0.5],[1,0]]

expected: 0.5

case 4

in: [[],[]]

expected: 0

Starter codePython

def total_probability(priors, conditionals):
    # Your code here
    pass

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