Because of a mistake in packaging, a case of 17 bottles of wine contained 8 of brand A and 9 of brand B, each without labels. All the bottles look alike and have an equal probability of being chosen. Five bottles are randomly selected. (round to four decimal places)

(a) What is the probability that all five are brand A?

(b) What is the probability that exactly two are brand A?

(c) What is the probability that none is brand A?