David Mashley teaches two undergraduate statisticscourses at Kansas College

David Mashley teaches two undergraduate statisticscourses at Kansas College. The class for Statistics 201consists of 7 sophomores and 3 juniors. The more advancedcourse, Statistics 301, has 2 sophomores and8 juniors enrolled. As an example of a business samplingtechnique, Professor Mashley randomly selects,from the stack of Statistics 201 registration cards, theclass card of one student and then places that cardback in the stack. If that student was a sophomore,Mashley draws another card from the Statistics 201stack; if not, he randomly draws a card from the Statistics301 group. Are these two draws independentevents? What is the probability of(a) a junior’s name on the first draw?(b) a junior’s name on the second draw, given that asophomore’s name was drawn first?(c) a junior’s name on the second draw, given that ajunior’s name was drawn first?(d) a sophomore’s name on both draws?(e) a junior’s name on both draws?(f) one sophomore’s name and one junior’s name onthe two draws, regardless of order drawn?SOLVE30