Because of a mistake in packaging, a case of 11 bottles of wine contained 5 of brand A and 6 of brand B, each without
labels. All the bottles look alike and have an equal probability of being chosen. Three bottles are randomly selected.
(a) What is the probability that all three are brand A?
(b) What is the probability that exactly one is brand A?
(c) What is the probability that none is brand A?