Oddly enough, while we had a Strato-Matic Baseball game that was one of the few things which could bring my brother and I together, we did not need dice. The version of strato-matic baseball we had came with player cards cut into circles. The outer perimeter of each card was segmented by boxes of named events matching the percentage of that player's at bats(over his entire career) of times he hit for that event. So if 1% of your carer at bats resulted in home runs, then 1% of the circle's outer edge was in a box(or boxes) labeled HR. So the entire outer edge was comprised of boxes bent around the circle shaped card. You had your cards in a stack which represented your batting order and when you began an at bat, you took the card from the top and slid it into a half circle of plastic on a playing field board. On the top of that plastic half circle was a metal spinner and you then spun the needle on the spinner and waited. Eventually the spinner stopped spinning and ended up with the needle hovering over one of the boxes printed on the player's card. That was the result of that at bat. If you got a base hit of some kind(Single, Double Triple) you placed a marker on the playing field to represent the runner. If the runner had to advance another runner to get to there they should be, that runner gets advanced too(IE: a batter hits a double and there is already a runner on First, the runner on first is advanced to Third so the batting player can be placed on Second).
I do not know what happened to that old game but it is gone. More recently, I am one of the very few people I have ever heard of who have played full 9 inning games of the ill fated and bizarrely complex Topps/Wiz Kids "MLB Sports Clix". I even still have sealed sets of figures like Alex Rodreguez in a Rangers Uniform and Alfonso Soriano in a Yankees Uniform. the figures were released a week before the trade was announced.

Marc