A painter has three different jars of paint colors available, in colors green, yellow, and purple. She wants to paint something abstract, so she blindfolds herself, randomly dips her brush, and paints on the canvas. She continues trying paint jars, without replacement, until all three have been used. (Her assistant helps with this blindfolded process!) So sample space S is
S = {(G, P, Y), (G, Y, P), (P, G, Y), (P, Y, G), (Y, G, P), (Y, P, G)}.
Let A be the event that purple is found in the second jar tested by the painter. Let B be the event that green is found before yellow. Are events A and B independent?