Hank the winemaker has been aging barrels of wine for years. In his cellar, he has 12 barrels of Syrah, 10 barrels of Chardonnay, 4 barrels of Grenache, 6 barrels of Mourvedre, and 1 barrel of very expensive Bordeaux that was imported from France. One evening, Hank stumbles into his cellar, and in attempt to create a new blend, he randomly chooses three barrels and dumps them all into a vat. Find the probability that:
(a) Hank is very upset the next morning to realize that he poured the very expensive Bordeaux into the vat.
(b) Hank is delighted to discover that he made a GSM blend! (One part Grenache, one part Syrah, and one part Mourvedre)
(c) Huge bummer - Hank mixed Chardonnay with any of the other (red) wines. That is NOT how you make a Rose.