def chance_of_kill(die, hp):
    if hp <= die:
        return (die + 1 - hp) / die
    else:
        return chance_of_kill(die, hp - die) / die


print(chance_of_kill(4, 1))
print(chance_of_kill(4, 4))
print(chance_of_kill(4, 5))
print(chance_of_kill(4, 6))
print(chance_of_kill(1, 10))
print(chance_of_kill(100, 200))
print(chance_of_kill(8, 20))