2.27 Marbles in an urn:  Imagine you have an urn containing 6 red, 3 blue, and 1 orange marbles in it.

a) What is the probability that the first marble you draw is blue?
b) Suppose you drew a blue marble in the first draw. If drawing with replacement, what is the probability of drawing a blue marble in the second draw?
c) Suppose you instead drew an orange marble in the first draw. If drawing with replacement, what is the probability of drawing a blue marble in the second draw?
d) If drawing with replacement, what is the probability of drawing two blue marbles in a row?
e) When drawing with replacement, are the draws independent?