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.
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
that sounds very possibly like a mouse spider
http://en.wikipedia.org/wiki/Redback_spider
it iz a black woodow
The spider you are describing could be a black widow spider. Black widows are known for their sleek black bodies and long, thin legs that give them a distinct appearance. They also have a red or orange hourglass-shaped marking on their abdomen.
a black spider
You can make Halloween spider legs out of black pipe cleaners for small decorations. Halloween costume spider legs can be made of black material or black tights.
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.
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.