A soft drink manufacturer puts one of three different quotations on the inside of each bottle cap. Assuming that each of the quotations is equally likely to appear, what is the probability of receiving all three after purchasing four of the soft drinks? What is the expected number of soft drinks that you have to purchase to have all three quotations? Start by identifying the absorbing stochastic matrix A. 3 2 3 0 A= 2 0 1 0 0 (Type integers or simplified fractions.)