A total of 8 popular brands of cola are to be used in a blind taste study for consumer recognition. (a) If 5 distinct brands are chosen at random from the 8 and if a consumer is not allowed to repeat any answers, what is the probability that all 5 brands could be identified by just guessing? 56 (b) If repeats are allowed in the 5 brands chosen at random from the 8, and if a consumer is allowed to repeat answers, what is the probability that all 5 brands are identified correctly just by guessing? 1 C(10,3) may be written to express 10 choose 3, and P(10,3) may be written to express 10 permute 3.

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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A total of 8 popular brands of cola are to be used in a blind taste study for consumer recognition.
(a) If 5 distinct brands are chosen at random from the 8 and if a consumer is not allowed to repeat any answers, what is the probability that all 5 brands
1
could be identified by just guessing? 56
(b) If repeats are allowed in the 5 brands chosen at random from the 8, and if a consumer is allowed to repeat answers, what is the probability that all 5
brands are identified correctly just by guessing? 1
C(10,3) may be written to express 10 choose 3, and P(10,3) may be written to express 10 permute 3.
Transcribed Image Text:A total of 8 popular brands of cola are to be used in a blind taste study for consumer recognition. (a) If 5 distinct brands are chosen at random from the 8 and if a consumer is not allowed to repeat any answers, what is the probability that all 5 brands 1 could be identified by just guessing? 56 (b) If repeats are allowed in the 5 brands chosen at random from the 8, and if a consumer is allowed to repeat answers, what is the probability that all 5 brands are identified correctly just by guessing? 1 C(10,3) may be written to express 10 choose 3, and P(10,3) may be written to express 10 permute 3.
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