Alright, I found some info...
http://www.classicthemes.com/50sTVTh...twentyOne.html
The show was Twenty-One, and ran from 1956-58. (Apparently, it's the same twenty-one that ran a few years back on NBC, although adding in Maury Povich probably didn't help the latter edition that much, IMHO.)
<Edit>I went back and checked--a show called "The $64,000 Question" was also rigged in the same era.</edit>