Probability problem

A factory produces light bulbs, and historically, 10% of the bulbs are defective. Every day, a quality control inspector randomly selects 10 bulbs from a large production batch. What's the expected number of days it would take for the inspector to find at least 2 lightbulbs?

I was able to solve the case for finding at least 1 lightbulb by letting X~Geom(p), where X is the number of days required to get a day with at least one defective lightbulb. I can't figure out a method for 2 lightbulbs though.