I Can't understand this problem

  • Thread starter dionys
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In summary, the conversation discusses the use of probability to solve a problem involving midday temperatures in Hirakleio and Athens. The events A, B, and C are defined, and their probabilities are given. The question asks for the probability of the minimum temperature between the two cities being 25C. The use of the Addition Principle is suggested to solve the problem. The speaker clarifies that P(D) cannot be calculated using the formula P(D) = P(A intersection B) = P(A) + P(B) - P(A union B) as it could result in negative probabilities.
  • #1
dionys
10
0
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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  • #2
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
 
  • #3
so you say that :
P(D)=P(AintersectionB)=P(A)+P(B)-P(AUB)?
 
  • #4
No, he DIDN'T say that! That would, in any situation at all, result in negative probabilities!
 

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