An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to taste all three and then list them in order of preference. Suppose the same cola has actually been put into all three glasses. (a) What are the simple events in this ranking experiment? (Enter your answer in set notation.) What probability would you assign to each one? O All of the simple events have the same probability, O All of the simple events have the same probability, O The probability of an individual event where D is ranked first is 12 The probability of another individual event is O It is impossible to determine the probability of the simple events with the given information. O The probability of an individual event where D is ranked first is . The probability of another individual event is (b) What is the probability that C is ranked first? (Round your answer to three decimal places.) (c) What is the probability that C is ranked first and D is ranked last? (Round your answer to three decimal places.)
An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to taste all three and then list them in order of preference. Suppose the same cola has actually been put into all three glasses. (a) What are the simple events in this ranking experiment? (Enter your answer in set notation.) What probability would you assign to each one? O All of the simple events have the same probability, O All of the simple events have the same probability, O The probability of an individual event where D is ranked first is 12 The probability of another individual event is O It is impossible to determine the probability of the simple events with the given information. O The probability of an individual event where D is ranked first is . The probability of another individual event is (b) What is the probability that C is ranked first? (Round your answer to three decimal places.) (c) What is the probability that C is ranked first and D is ranked last? (Round your answer to three decimal places.)
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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Transcribed Image Text:An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to taste all three and then list them in order of preference. Suppose the same cola has actually been put into all three glasses.
(a) What are the simple events in this ranking experiment? (Enter your answer in set notation.)
What probability would you assign to each one?
O All of the simple events have the same probability,
1
O All of the simple events have the same probability,
O The probability of an individual event where D is ranked first is
The probability of another individual event is
12
O It is impossible to determine the probability of the simple events with the given information.
O The probability of an individual event where D is ranked first is
The probability of another individual event is
5
15
(b) What is the probability that C is ranked first? (Round your answer to three decimal places.)
(c) What is the probability that C is ranked first and D is ranked last? (Round your answer to three decimal places.)
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