At a college basketball game, one lucky ticket holder will win an all-expenses-paid trip to the conference championship game. There are 4,000 ticket holders at the game. The organizers want to place chips, each labeled with the seat number of a ticket holder, in a bin and draw the winner from the bin. Unfortunately, the bin will hold only 400 chips. Which method assures both that the organizers can use the bin for the drawing and that each ticket holder will have a fair chance of winning?
At a college basketball game, one lucky ticket holder will win an all-expenses-paid trip to the conference championship game. There are 4,000 ticket holders at the game. The organizers want to place chips, each labeled with the seat number of a ticket holder, in a bin and draw the winner from the bin. Unfortunately, the bin will hold only 400 chips. Which method assures both that the organizers can use the bin for the drawing and that each ticket holder will have a fair chance of winning?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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At a college basketball game, one lucky ticket holder will win an all-expenses-paid trip to the conference championship game. There are 4,000 ticket holders at the game. The organizers want to place chips, each labeled with the seat number of a ticket holder, in a bin and draw the winner from the bin. Unfortunately, the bin will hold only 400 chips.
Which method assures both that the organizers can use the bin for the drawing and that each ticket holder will have a fair chance of winning?
A.
Place chips labeled with the seat numbers of each ticket holder into 10 groups based on age. Then randomly select one of the groups and place it in the bin. Randomly select the winner of the trip from the bin.
B.
Randomly assign the 4,000 ticket holders to 40 equal-sized groups. Then randomly select 4 of the groups and place their seat numbers in the bin. Randomly select the winner of the trip from the bin.
C.
Place 400 chips labeled with the seat numbers of ticket holders from a certain section of the auditorium into the bin, and randomly select the winner of the trip from the bin.
D.
Place 400 chips labeled with the seat numbers of the first 400 ticket holders into the bin, and randomly select the winner of the trip from the bin.
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