Don't understand this conditional probabillity example

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SUMMARY

The discussion centers on the calculation of conditional probability, specifically P(B|A'), in Example 2 of a probability text. The original claim states that P(B ∩ A') equals 0.2, while a participant argues it should be 0.15 based on their interpretation of the diagram. The confusion arises from the definitions of events B and A' and their intersection. Clarification is needed on the correct interpretation of the probability values presented in the example.

PREREQUISITES
  • Understanding of conditional probability concepts
  • Familiarity with probability notation (e.g., P(B|A), P(B ∩ A'))
  • Basic knowledge of set theory and event intersections
  • Ability to interpret probability diagrams and examples
NEXT STEPS
  • Review conditional probability definitions and formulas
  • Study examples of event intersections in probability
  • Learn about probability diagrams and their interpretations
  • Explore common pitfalls in calculating conditional probabilities
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Students of statistics, educators teaching probability concepts, and anyone seeking to clarify misunderstandings in conditional probability calculations.

thisischris
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At the bottom of the page (example 2) for question c) P(B|A').

They say P(B n A') = 0.2. But surely it is (B while not A) which in my mind should be 0.15.

Can somebody tell why it is 0.2?
 

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thisischris said:
At the bottom of the page (example 2) for question c) P(B|A').

They say P(B n A') = 0.2. But surely it is (B while not A) which in my mind should be 0.15.

Can somebody tell why it is 0.2?

If the diagram is correct, and if my interpretation of the various numbers there is correct, it should be 0.15, as you want.

RGV
 
Thank you!
 

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