Occupancy Zero Bins Probability

Problem

When n balls are thrown independently into m equally likely bins, the probability a given bin stays empty is (1 - 1/m)^n.

Given m and n, return the probability that a specific bin is empty.

Hint

Each ball avoids the bin with probability 1 - 1/m.

case 1

in: [10,5]

expected: 0.5904900000000001

case 2

in: [2,1]

expected: 0.5

case 3

in: [100,200]

expected: 0.13397967485796172

Starter codePython

def occupancy_zero_bins_probability(m, n):
    # Your code here
    pass

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