'Allowed' in the Bible

When the king of Egypt called for the midwives, he asked them, "Why have you done this and allowed the boys to live?"

But, indeed, for this reason I have allowed you to remain, in order to show you My power and in order to proclaim My name through all the earth.

However, if he did not lie in wait [for him], but God allowed him to fall into his hand, then I will establish for you a place to which he may escape [for protection until duly tried].

And Moses saw the people, that they [were] running wild because Aaron had allowed them to run wild, for a laughingstock among {their enemies}.