Because of a mistake in packaging, a case of 12 bottles
Question and Solution
Because of a mistake in packaging, a case of 12 bottles of red wine was shipped to the Inn. The case contained 5 Merlot
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Because of a mistake in packaging, a case of 12 bottles of red wine was shipped to the Inn. The case contained 5 Merlot and 7 Cabernet, each without labels. They all look alike. 3 Bottles are randomly selected.
What is the probability that all 3 are Merlot?
What is the probability that exactly 2 are Merlot?
What is the probability that none is a Merlot?
The lifeguards (these boys are busy) open the bottles to sample the wine to determine the type. The Merlot bottles are labeled with a plain white label and the Cabernet bottles are labeled with a plain yellow Label. The wine will be displayed on the shelf at the Inn's bar and her customers will be able to sample the wine too.
In how many distinguishable ways can she arrange the wine bottles in a row on the shelf assuming that the bottles are evenly spaced and that each label is placed in relatively the same spot on every bottle?
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