I apologize for this but for some reason I am not able to get any good results from Google.

I am looking for software that would allow me to create interative stories.

The "scenario described" pick A or B to continue variant.

Preferably something that runs on the web.

Coding it would not be too difficult, but I know I have read about products already out there that cna do it and would allow a much more complex set of paths.