David Mashley teaches two undergraduate statistics course at Kansas College. The class for statistics 201 consist of 7 sophomores and 3 juniors. The more advance course, Statistics 301, has 2 sophomores and 8 juniors enrolled. As an example of a business sampling techniques, Professor Mashley randomly select, from the stack of statistics 201 registration cards, the class card of the 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. Are these two draws independent events? What is the probability of
1. a junior’s name on the first draw?2. a junior’s name on the second draw, given that a sophomo’s name was drawn first?3. a junior’s name on the second draw, given that a juniors name was drawn first?4. a sophomore’s name on both draws?5. a junior’s name on both draws?6. one sophomore’s name and one juniors name on the two draws, regardless of order drawn?