need it ASAP..with detailed steps..

6. 12 kids go on a picnic. Each kid brings a sandwich. One child does not like their sandwich and suggest a game in which they put their sandwiches in one basket and their names in the other. They will draw the names with replacement from the "name" - basket and the drawn child gets the randomly drawn sandwich (sandwiches are drawn without replacement and the drawn child keeps it) until all sandwiches are gone. What is the probability that at least 3 children are left at the end without a sandwich? (15 points)