I Can't understand this problem

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The discussion revolves around calculating the probability of the minimum temperature between Hirakleio and Athens being 25C, given the probabilities of each city's temperature. The events A and B represent the temperatures in each city, while event C defines the maximum temperature. There is confusion regarding the definitions of events and the correct application of probability principles. The mention of the Addition Principle raises concerns about potential negative probabilities if misapplied. Clarification is needed on the definitions of events D and C to resolve the problem accurately.
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Hi guys i have a problem but i don't know how to start solving this
can you help?

We have three events:

A={The midday temperature in Hirakleio is 25C}
B={The midday temperature in Athens is 25C}
C={The maximum of the two midday temperatures in Hirakleio and Athens is 25[degrees]C}
P(A)=0.3
P(B)=0.4
P(C)=0.2

Find the probability that the minimum temperature between the two midday temperatures is 25C
 
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Duh! seems like a pointless question unless they are defining C as AUB and D as AintersectionB where D is the required event.

In which case the simple Addition Principle does the job.

-- AI
 
so you say that :
P(D)=P(AintersectionB)=P(A)+P(B)-P(AUB)?
 
No, he DIDN'T say that! That would, in any situation at all, result in negative probabilities!
 
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