3. ACME candy factory produces thousands of candies each day that come in the colors rele), bluelB), yellowlY) and green(G) with probabilities pR, p3, py, and p6. Assume the color of every candy is independent of the color of every other candy. Let pR = p3 = .4 and py = PG = .1 a. What is the probability the first two candies produced are the same color? (3pt) b. What is the probability that in a sample of 3 candies, at least two are red? (3pt) c. Find the probability that in a sample of 4 candies each color appears once. (4pt) d. lfa blue candy doesn't appear in the first 5 candies produced, what is the probability the first blue candy is the 10th candy produced? (3pt)