A bag contains 8 green marbles, 10 red marbles, and 3 yellow marbles. Let's call the event A "Drawing a green marble" and event B "Drawing a yellow marble". 1. Are the events A and B mutually exclusive?
2. Are the events A and B independent if the first marble is replaced before the second draw?
3. Are the events A and B independent if the first marble is not replaced before the second draw?
4. If one marble is drawn from the bag, what is the probability of drawing a yellow marble and a green marble (on the same draw)?
5. If one marble is drawn from the bag and replaced, then another marble is drawn, what is the probability of drawing a yellow marble then a green marble?
6. If one marble is drawn from the bag and not replaced, then another marble is drawn, what is the probability of drawing a yellow marble then a green marble?