"might vs may"- Tired of the theory; just wanna know native speakers' thoughts...when does it feel more natural/appropiate to use one or the other? Are there any situations where you can use either or them interchangeably? Any situation where only one fits?

It depends on the context and can be fuzzy, so your teacher was right. When using them to talk about the *possibility of something occuring*, I use them interchangeably. There are certain times when one of them just *feels right*. To me, “may” usually sounds ever-so-slightly more formal. Saying “I might run to the store later” sounds more casual and correct than “I may run to the store later,” but anyone would understand exactly what you meant. Same goes for past tense…the context might imply something different: “Oops, I might have eaten the last cookie” (in a surprised tone because I didn’t realize the cookie I ate was the last one), or “Oops, I may have eaten the last cookie” (said in a sarcastic tone…I *know for a fact* I ate the last cookie but I’m not admitting to it). But when it comes to asking for or giving permission to do something, I always use “may.” For example: “Yes, you may eat a cookie” when a child asks to eat a cookie. Saying “You might eat a cookie” doesn’t make sense in that context.

Might = possible May = allowed

American English, but I find when talking about myself, I can use either interchangeably and they both sound fine. I might go to the store/I may go to the store. however when talking about someone else, “They may go to the store” etc. can sound like you are giving them permission. so I would use “might”

Picking randomly is fine IMO. They are almost totally interchangeable when you are talking about likelihood. I feel like "may" slightly implies more than 50% odds, and "might" slightly implies less than 50% odds. But this is splitting hairs. In fact I see another comment saying the opposite! So I wouldn't worry about it. Use whichever one sounds good to you for unknown odds, and if you want to convey a probability, use different wording. However, "may" also has the meaning related to permission, and might is not used that way.

90% of the time there's no difference at all. I wouldn't use 'may' for things in the future. (So 'I might go to the shop tomorrow' sounds more natural than 'may' to me). There's no hard and fast rule.

<American English> They are functionally the same in statements. *"I may go to the store later." = "I might go to the store later."* In questions, we don't tend to use "might", and don't often use "may" - we usually use "can". *"Might I borrow your pen?"* (rare, but understood) *"May I borrow your pen?"* (less used because it's seen as more formal) *"Can I borrow your pen?"* (most common)

When it comes to conversation I never really use may

I would say that they don’t have a difference in meaning for me in the sense you mean. I could replace “May I?” with “Might I?”, but I could replace “that might happen” with “that may happen.” Personally, I would use “may” with the second meaning very rarely. It means that something is slightly less likely than “might” (or that’s what you’re implying). I would probably only use it dismissively. For example, if a someone said “this could happen,” I might respond “it may.” That means that I really don’t think it will, but it’s possible.

May is used more in the present tense, might more in past tense. I may go to the movies vs. I might have gone to the movies if it weren’t for traffic.