Herb kit without drainage holes?

I just bought a herb-starting kit containing pots, potting mix and seed packets for five different herbs -- basil, parsley, oregano, cilantro and chives. After following the instructions and setting the pots in my south-facing window, it dawned on me that the kit didn't come with a drainage tray or saucers and none of the pots have drainage holes. Is this common in these sorts of seed-starting kits or did I just waste money on a set that's doomed to fail?