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I’m a big time shopper. There’s a 30% chance I will go shopping on Saturday, and a 40% chance I will go shopping on Sunday. (We don’t have any information about how correlated these probabilities are, i.e. whether me shopping on one day affects how likely it is that I will shop on another day.)

 

A. What’s the minimum probability I’ll go shopping at any point this weekend?

 

B. What’s the maximum probability I’ll go shopping at any point this weekend?

 

 

C. If the probability of me shopping on Saturday is inversely correlated with the probability I shop on Sunday, which of the above numbers is the true probability closer to?

The answer from A, B, equal distance from the two, or not enough information to answer.

 

I'm not too sure what the probability C is referring too, but I'm assuming the max? Also these are like those "logic trick" question type of stuff, so the answer might be a little more nauced then you think.

 
 May 3, 2023

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