import numpy as np


def two_group_ent(first, tot):
    return -(first / tot * np.log2(first / tot) +
             (tot - first) / tot * np.log2((tot - first) / tot))


tot_ent = two_group_ent(10, 24)
g17_ent = 15 / 24 * two_group_ent(11, 15) + 9 / 24 * two_group_ent(6, 9)

answer = tot_ent - g17_ent
print(answer)