He may be sleeping." vs "He might be sleeping

[twilit1988]

My dear and respected teacher,
1: "Hello, child...Where's your dad?I have some work with him.Please tell him to come out." correct?
2: "It may have rained". incorrect?
3: "It might have rained." correct?
4: "He may be sleeping." AND "He might be sleeping." What's the difference please?

[svartnik]

My dear and respected teacher,
1: "Hello, child...Where's your dad?I have some work with him.Please tell him to come out." correct?
2: "It may have rained". incorrect?
3: "It might have rained." correct?
4: "He may be sleeping." AND "He might be sleeping." What's the difference please?

1. OK
2. No, it is fine.
2 = 3 in terms of probability
4. with 'might' the probability is lower