anufacturing​ error,ten cans of regular soda were accidentally filled with diet soda and placed into a 36-pack. Suppose that two can

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Due to a manufacturing​ error,ten cans of regular soda were accidentally filled with diet soda and placed into a 36-pack. Suppose that two cans are randomly selected from the 36-pack. Complete parts​ (a) through​ (c).

 
Due to a manufacturing error, ten cans of regular soda were accidentally filled with diet soda and placed into a 36-pack. Suppose that two cans are randomly selected
from the 36-pack. Complete parts (a) through (c).
(a) Determine the probability that both contain diet soda.
P(both diet) = (Round to four decimal places as needed.)
(b) Determine the probability that both contain regular soda.
P(both regular) =
(Round to four decimal places as needed.)
Would this be unusual?
O No
O Yes
(c) Determine the probability that exactly one is diet and exactly one is regular.
P(one diet and one regular) =
(Round to four decimal places as needed.)
Transcribed Image Text:Due to a manufacturing error, ten cans of regular soda were accidentally filled with diet soda and placed into a 36-pack. Suppose that two cans are randomly selected from the 36-pack. Complete parts (a) through (c). (a) Determine the probability that both contain diet soda. P(both diet) = (Round to four decimal places as needed.) (b) Determine the probability that both contain regular soda. P(both regular) = (Round to four decimal places as needed.) Would this be unusual? O No O Yes (c) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular) = (Round to four decimal places as needed.)
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