three bottles of different sizes contain different compositions of red and blue candy. the largest bottle contains eight red and two blue pieces, the mid-size bottle has five red and seven blue, the small bottle holds four red and two blue. a monkey will pick one of these three bottles, and then pick one piece of candy from it. because of the size differences, there is a probability of 0.5 that the large bottle will be picked, and a probability of 0.4 that the mid-size bottle is chosen. once a bottle is picked, it is equally likely that the monkey will select any of the candy inside, regardless of color.