There are three closed box labeled with A,B,C. And only one of them with one concert ticket. Now you choose A as your box, then you friend open B and find it is empty. Then you have chance to stick A or switch C. Which probability is larger stick or switch?   Now we can denote open B be one event OB.     Would you like to explain why P(OB /A)=1/2, and P(OB/C)=1, Thanks

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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 are three closed box labeled with A,B,C. And only one of them with one concert ticket.

Now you choose A as your box, then you friend open B and find it is empty.

Then you have chance to stick A or switch C.

Which probability is larger stick or switch?

 

Now we can denote open B be one event OB.

 

 

Would you like to explain why P(OB /A)=1/2, and P(OB/C)=1, Thanks

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Chosen box: A

Empty box: B

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