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A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A family consisting of three persons-A, B, and C-goes to a medical clinic that always has a doctor at each of stations 1, 2, and 3. During a certain week, each member of the family visits the clinic once and is assigned at random to a station. The experiment consists of recording the station number for each member. Suppose that any incoming individual is equally likely to be assigned to any of the three stations irrespective of where other individuals have been assigned. What is the probability that (a) All three family members are assigned to the same station? (Round your answer to three decimal places.) (b) At most two family members are assigned to the same station? (Round your answer to three decimal places.) (c) Every family member is assigned to a different station? (Round your answer to three decimal places.)
Transcribed Image Text:A family consisting of three persons-A, B, and C-goes to a medical clinic that always has a doctor at each of stations 1, 2, and 3. During a certain week, each member of the family visits the clinic once and is assigned at random to a station. The experiment consists of recording the station number for each member. Suppose that any incoming individual is equally likely to be assigned to any of the three stations irrespective of where other individuals have been assigned. What is the probability that (a) All three family members are assigned to the same station? (Round your answer to three decimal places.) (b) At most two family members are assigned to the same station? (Round your answer to three decimal places.) (c) Every family member is assigned to a different station? (Round your answer to three decimal places.)
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