May and Might

'May' is used to express possibility or likelihood of something happening, but with a level of uncertainty or lack of certainty.

'May' is used to politely ask for permission to do something. Using 'May I...?' is more polite and more formal than using 'Can I...?' or 'Could I...?'

You can also use 'may' to politely give permission to somebody.

You can use 'may not' or 'mayn't' to indicate that something is not allowed or to express a negative condition. Keep in mind that 'mayn't' is a contraction of 'may not' and is generally considered informal or colloquial.

You can use 'may' to express wishes. In this function, you can only use 'may'. 'May' and 'might' are not interchangeable in this case.

'May' can be used in both spoken and formal English to ask something or make a *suggestion in a polite manner.

'Might' is similar to 'may' in that it is used to express possibility or likelihood of something happening. However, the difference is that 'might' suggests a lower degree of probability or a less likely possibility than 'may'. It implies that the chances of something happening are smaller or more remote.

We can use 'might' as the past tense of 'may' when we want to report that someone talked or thought about the possibility of something:

We can also use 'might' to express a possibility in the past that did not actually happen.

Especially in British English, 'might' is used to politely ask for permission to do something. But, it is very rare and very formal.

'Might' can be used to make polite suggestions or give advice to someone.

If you're uncertain about whether something happened in the past, it's better to use 'might'. You can also use 'may', but since 'might' is the past tense of 'may', using 'might' can be more appropriate.
When using 'might' in this context, you should follow it with the past participle form of the verb, which is the present perfect tense.