Chips in a bag. Imagine you have a bag containing 5 red, 3 blue, and 2 orange chips.
(a) Suppose you draw a chip and it is blue. If drawing without replacement, what is the probability the next is also blue?
(b) Suppose you draw a chip and it is orange, and then you draw a second chip without replacement. What is the probability this second chip is blue?
(c) If drawing without replacement, what is the probability of drawing two blue chips in a row?
(d) When drawing without replacement, are the draws independent? Explain.