I Can't understand this problem

  • Context: Undergrad 
  • Thread starter Thread starter dionys
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Discussion Overview

The discussion revolves around a probability problem involving temperatures in two cities, Hirakleio and Athens. Participants are exploring how to approach the problem of finding the probability that the minimum temperature between the two midday temperatures is 25°C, given certain probabilities for individual events and their maximum.

Discussion Character

  • Homework-related, Mathematical reasoning, Debate/contested

Main Points Raised

  • One participant expresses uncertainty about how to start solving the problem and seeks assistance.
  • Another participant suggests that the question may be pointless unless specific definitions for events C and D are provided, implying a need for clarity in the problem statement.
  • A third participant attempts to clarify the relationship between the probabilities of events A, B, and the required event D, referencing the Addition Principle.
  • A fourth participant challenges the previous claim, asserting that the proposed relationship would lead to negative probabilities, indicating a misunderstanding or miscommunication regarding the probability rules.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on how to interpret the problem or the relationships between the events. There is disagreement regarding the validity of the proposed mathematical approach.

Contextual Notes

The discussion highlights potential ambiguities in the definitions of events and the application of probability principles, which may affect the clarity of the problem-solving process.

dionys
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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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