MHB How Do You Solve the Second Part of an Equivalence Relations Problem?

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The discussion focuses on understanding the second part of an equivalence relations problem after establishing that the first part meets the criteria of reflexivity, symmetry, and transitivity. A user seeks clarification on how to approach this second part, indicating confusion regarding the problem statement. Other participants encourage providing more details about the specific problem to facilitate better assistance. The conversation emphasizes the importance of clearly defining the problem to solve it effectively. Overall, the thread highlights the need for collaborative problem-solving in mathematical contexts.
loydchase
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I understand that the first part of the equation is an equivalence class due to reflexivity, symmetry, and transivity... but I am confused on the second part. Could someone please help me out? THANKS
 
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What exactly is the problem statement?
 
There is a nice little variation of the problem. The host says, after you have chosen the door, that you can change your guess, but to sweeten the deal, he says you can choose the two other doors, if you wish. This proposition is a no brainer, however before you are quick enough to accept it, the host opens one of the two doors and it is empty. In this version you really want to change your pick, but at the same time ask yourself is the host impartial and does that change anything. The host...

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