*Note that the treats with 'chocolate bar' after are considered chocolate bars and the treats without 'chocolate bar' after are considered candy

When checking your extra Halloween treats, you have an O'henry chocolate bar, a kit kat chocolate bar, an aero chocolate bar, caramilk chocolate bar, crunchie chocolate bar, swedish berries, sour patch kids, jolly rancher, Mike and Ikes, fuzzy peaches, and gummy bears. If you and your best friend Maddy are choosing some treats (you both must choose at least one), what is the probability that you will choose exactly 5 treats with at least 2 being chocolate bars and, after you have chosen, Maddy will choose exactly 3 treats?

Proper mathematical solution and explanation done by hand on paper