30% of the students who came into a coffee shop talk to Dan's for his office hours. 20% of them got hot chocolate. 50% of them got nothing. Only 20% of the people in the shop during those two hours were students coming for Dan's office hours. Out of this larger group, 65% got coffee, 10% got hot chocolate, and 25% got nothing. What are the chances that someone in the shop during those two hours was a student who came in for office hours given that they got hot chocolate?