Most likely a woodlouse spider. They're pretty common but like dark corners and don't tend to come into houses.
A red spider with black legs is characterized by its red body and black legs. This color combination is a distinguishing feature that sets it apart from other spiders.
The spider you are describing is likely the black widow spider. Black widows are known for their shiny black bodies with a distinctive red hourglass shape on their underside. They can be found in Arizona and are known for their venomous bite.
The eastern mouse spider is an arachnid whose body is blue and red and whose legs are black. The red-headed arachnids in question (Missulena bradleyi) may be black- or brown-bodied if female and blue-bodied if male. They will be found natively only in coastal eastern Australia.
A black spider with a red back and thick fuzzy legs is commonly called a jumping spider. The formal name is Phiddipus audax.
A black widow
tarantula
A ladybird spider is a spider whose red body has four black dots.Specifically, the spider in question can be found natively in Greece. It carries the scientific names Eresus cinnaberinus and E. sandaliatus. It has white-striped black legs. Its fused head and thorax (prosoma) is black. Its abdomen-like rear (opisthosoma) is red, with 4 black dots.
It can be hard to tell what kind of a spider you are looking at that has a red head and back and black and white striped legs, since the body type is also an important factor. Chances are that it is a red-headed jumping spider, which can cause a somewhat painful bite but is not otherwise dangerous to humans.
The Red-back spider (Latrodectus hasselti) is commonly found in Australia. They are a small black venomous spider with long thin legs, and the females have a red stripe on their globular abdomen.
A spider that has a red upper body and legs and a gray lower body is a sowbug killer spider.
The spider you are describing is likely the yellow garden spider (Argiope aurantia). This species is known for its distinctive yellow and black striped body, along with red or orange markings on its legs. It is commonly found in gardens and fields throughout Minnesota. These spiders are non-aggressive and known for their large, intricate webs.
that sounds very possibly like a mouse spider