Might

Question 1

I might =

Answer 1

it is possible that I will

…I might go to the cinema this evening, but I’m not sure. (= it is possible that I will go)

…A: Are you going out tonight?
B: I might. (= I might go out)

…I’m playing tennis tomorrow. (sure)
…I might play tennis tomorrow. (possible)

Question 2

I may = I might:

Answer 2

You can use may in the same way.

…I may go to the cinema this evening.(= I might go)
…Sue may not come to the party. (= Sue might not come)