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4. The class is randomly divided between three instructors, with 6 people going to each instructor. What is the probability that the first 5 people to walk through the door include representatives of each of the 3 groups?

4. The class is randomly divided between three instructors, with 6 people going to each instructor. What is the probability that the first 5 people to walk through the door include representatives of each of the 3 groups?

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 class of 18 students has been divided into 6 teams of 3 people in each. 1. What is the probability that a randomly selected group of 4 does not contain any people on the same team? 2. Suppose the teams were numbered 1 through 6. What is the probability that the 15th person to walk through the door is on team 5? What is the probability that the 16th person to walk through the door is on team 3? 3. The class is radomly divided between three instructors, with 6 people going to each instructor. What is the probability that one instructor got representatives of all six teams? 4. The class is randomly divided between three instructors, with 6 people going to each instructor. What is the probability that the first 5 people to 5. Five married male-female couples walk into a dance studio and each woman is randomly paired off with a man. What is the probability that no woman is paired with her own husband? Answers (rounded): 1) 39.7% 2) 16.7% 3)0.0162% 4) 72.5% 5) 36.7%
Transcribed Image Text:A class of 18 students has been divided into 6 teams of 3 people in each. 1. What is the probability that a randomly selected group of 4 does not contain any people on the same team? 2. Suppose the teams were numbered 1 through 6. What is the probability that the 15th person to walk through the door is on team 5? What is the probability that the 16th person to walk through the door is on team 3? 3. The class is radomly divided between three instructors, with 6 people going to each instructor. What is the probability that one instructor got representatives of all six teams? 4. The class is randomly divided between three instructors, with 6 people going to each instructor. What is the probability that the first 5 people to 5. Five married male-female couples walk into a dance studio and each woman is randomly paired off with a man. What is the probability that no woman is paired with her own husband? Answers (rounded): 1) 39.7% 2) 16.7% 3)0.0162% 4) 72.5% 5) 36.7%
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