26. Packaging Error Because of a mistake in packaging, a case of 12 bottles of red wine contained five Merlot and seven Cabernet, 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 Merlot? (b) What is the probability that exactly two are Merlot? (c) What is the probability that none is a Merlot?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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26. Packaging Error Because of a mistake in packaging, a case
of 12 bottles of red wine contained five Merlot and seven
Cabernet, 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 Merlot?
(b) What is the probability that exactly two are Merlot?
(c) What is the probability that none is a Merlot?
Transcribed Image Text:26. Packaging Error Because of a mistake in packaging, a case of 12 bottles of red wine contained five Merlot and seven Cabernet, 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 Merlot? (b) What is the probability that exactly two are Merlot? (c) What is the probability that none is a Merlot?
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