You shouldn't need to do this under normal circumstances with Drupal, but for those other times... Just be sure to include class="zebraTable" in the opening <table> tag for any of the tables you want styled, and make sure you have an even and odd class defined in your CSS file. You might also want to change the class names to something other than odd and even to avoid conflicts with your existing styles.
Let's say you're creating a new content type in Drupal 7. Maybe you want include an embedded MP3 player using the Media module. Easy, right? Mmm...sort of. Here's a little tip that could save you some time if you're trying to play a file from another site.
Something tells me that this isn't performing as well as hoped. Just a hunch.
Now I know the more observant among you are saying, "Hey, wait a minute. What are you doing in a Mormon church?" Family reunion. It was outside, but hey, I figure if you're gonna poop, a church seems like about as good a place as any. I call it "returning the favor".