Detailed Balance Check Two State

Problem

A two-state chain satisfies detailed balance for pi when pi0 P01 equals pi1 P10; check within a tolerance.

Given pi0, pi1, P01, P10, and the tolerance, return True when detailed balance holds.

Hint

Compare the probability flux in both directions.

case 1

in: [0.5,0.5,0.2,0.2,1e-9]

expected: true

case 2

in: [0.5,0.5,0.3,0.1,1e-9]

expected: false

case 3

in: [0.75,0.25,0.2,0.6,1e-9]

expected: true

Starter codePython

def detailed_balance_check_two_state(pi0, pi1, p01, p10, tol):
    # Your code here
    pass

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