There is a cupboard with some objects inside. At least one of the objects in the cupboard is a glass plate. At least one of the objects is a red plate. If there are objects in the cupboard that are red and made of glass, they are all plates. Let's assume that all statements presented here are true. Which of the following conclusions is necessarily true?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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There is a cupboard with some objects inside. At least one of the objects in the cupboard is a glass
plate. At least one of the objects is a red plate. If there are objects in the cupboard that are red and
made of glass, they are all plates. Let's assume that all statements presented here are true.
Which of the following conclusions is necessarily true?
Some objects made of glass are plates.
All plates in the cupboard are either red, or made of glass, or both.
There is more than one plate in the cupboard.
There are red objects in the cupboard and at least one of them is made of glass.
There is a red object made of glass in the cupboard.
None of the conclusions above are necessarily true.
I will leave this question unanswered
Taules
Transcribed Image Text:There is a cupboard with some objects inside. At least one of the objects in the cupboard is a glass plate. At least one of the objects is a red plate. If there are objects in the cupboard that are red and made of glass, they are all plates. Let's assume that all statements presented here are true. Which of the following conclusions is necessarily true? Some objects made of glass are plates. All plates in the cupboard are either red, or made of glass, or both. There is more than one plate in the cupboard. There are red objects in the cupboard and at least one of them is made of glass. There is a red object made of glass in the cupboard. None of the conclusions above are necessarily true. I will leave this question unanswered Taules
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