16. Even though there are some differences between the taste of Max Cola and the taste of Golden Cola, most people cannot tell the difference. Pedro claims that in the absence of brand information, he can say whether a cup of cola is Max or Golden by tasting the drink. A statistician decided to test his claim. So she asked him to taste 6 cups of cola, 3 of which were Max and 3 of which were Golden, all in unmarked clear glasses, in a random order. If Pedro has no ability to distinguish Max Cola from Golden Cola, what is the probability that he could successfully identify the brand of four or more of the samples based on pure guesses? That is, by guessing the brand of each sample randomly and independently from other samples.