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Simply humidity is percentage of moisture in atmosphere or in a gas.
When temp. increases pressure reduces, that means gas percentage reduces in unit volume. But due to latent heat of water vapor expansion of vapor is less which results in increase in humidity.

And when temp reduces, gaseous volume increases result in less humidity.
The above case is for constant water vapor in air.

If rain is there humidity increases because of chance of getting to water vapor is more.
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