Are there any professional sports teams in Israel?
Yes there are. See related link below for further information.
Washington state has four famous professional sports team. In baseball they have the Seattle Mariners. In football they have the Seattle Seahawks. In soccer they have the Seattle Sounders FC for the men and the Seattle Sounders for the women. There are a lot of other minor league sports team and famous college teams as well.
Any baseball can be televised. It all depends on whether or not somebody wants to sponsor the team and pay for the air space. Professional sports are not always on TV, though. There have been multiple professional sports teams who would not televise a game unless the tickets were sold out or reached a certain amount of sales for that game.
Gender plays an integral role in any sports. Males have more stamina and power as compared to females, so they can play any professional sports through their stamina and power. Females can play professional sports for a certain time frame with full passion, dedication, energy and power. The female body goes with feminine complexities which is a big constraint for professional sports.
While trying to answer a similar question ("Are any pro sports teams publicly traded?") and I found this link. It's from 2006, but it makes this point: Currently however, there are no professional teams which are purely publicly traded companies. The whole article is here http://iblsjournal.typepad.com/illinois_business_law_soc/2006/10/professional_sp.html