The Lights In Our Bathroom Work, But The Plugs Don't, Why?

Lights and outlets may be on diff. Circuits.
The first thing to check in a bathroom is the GFI outlet if you have one.  They usually affect other outlets too.  Does it need to be reset?
If GFI is not the problem, look for a breaker that is tripped.  You may have had a n overload at another outlet on the same circuit.