Yahtzee Bowling games are super quick. If you plan to play 50 Game Shows, this will happen along the way however. If you want to get this really quickly, just keep replaying it and never re roll your dice. The AI will almost always win the first two matchups.
EDIT: Haunshaul has stated this important information!
"If you're not trying to win, get a Yahtzee, etc., you can press A to skip the entirety of the computer's turn. You can also (sometimes) hit X to skip the animation of Mr. Potato Head retrieving your ball on your turn, further speeding things up."