'Might' is a modal verb that is used to talk about possibilities, suggestions, etc. 'Might' is known as the past tense of modal verb 'may' but it is used for the present or the future tense. For instance:

'Would' is a modal verb that is used to talk about future, possibilities, willingness, etc. 'Would' is the past tense of 'will' but it is used in the present tense. For example:

We use 'might' and 'would' to talk about possible events and actions. These events have a chance of occurrence. For example:

We use 'might' and 'would' to make negative sentences and questions.
To make them negative, we add 'not' to them as illustrated below:

Here are some examples for clarity:

Questions are made by inverting the modal verbs with the subjects. For example:

As mentioned earlier, 'would' is the past tense of the modal verb 'will.' It is used to refer to the future from the point of view of the past. Have a look:

We use 'might' and 'would' as conditional verbs. In the table below, you can see them with all types of conditionals:

Conditional type 1 is used to show a condition and its result. These conditions are real situations and their chance of happening is very high. We use 'would' and 'might' in this type. For example:

We use 'might' and 'would' in conditional type 2 to talk about hypothetical situations in the present or future. These situations are imaginary and their chance of occurrence is low. For instance:

We use 'might' and 'would' in conditional type 3 to talk about a past that could have been. Here, we are talking about an imaginary past that could happen but never did and we are talking about the what-ifs. In other words, we are imagining a different past. Take a look at the following examples: