2+ on tri shorts. Zoot brand tri shorts have only a piece of fleece for the padding. DeSoto have a different kind of fleece, but still are nice and thin. Pearl Izumi makes a tri short as well. I don't know much about the PI shorts. But any tri shorts will have a much less bulky pad than regular bike shorts.

I've found that I use my tri shorts more and more and the "padded" stuff less and less. It's just more comfortable for me.