David Mashley teaches two undergraduate statistics courses at Kansas College. The class for Statistics 201 consists of 7 sophomores and 3 juniors. The more advanced course, Statistics 301, has 2 sophomores and 8 juniors enrolled. As an example of a business sampling technique, Professor Mashley randomly selects, from the stack of Statistics 201 registration cards, the class card of one student and then places that card back in the stack If that student was a sophomore, Mashley draws another card from the Statistics 201 stack; if not, he randomly draws a card from the Statistics 301 group.
(a) Are these two draws.independent events? What is the probability of a junior's name on the first draw?
(b) a junior's name on the second draw, given that a sophomore's name was drawn first?
(c) a junior's name on the second draw, given that a junior'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 on the two draws, regardless of order drawn?