Calculating Conditional Probability: A and B Events with A' and B' Notation

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SUMMARY

The discussion focuses on calculating the conditional probability of event B given that event A does not occur, using the notation A' for "not A." The probabilities provided are P(A) = 0.7, P(B) = 0.4, and P(A ∩ B) = 0.2. The correct formula to use is P(B|A') = P(B ∩ A') / P(A'), where P(A') is calculated as 1 - P(A) = 0.3. The application of Bayes' theorem is also referenced as a method to solve the problem.

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  • Familiarity with Bayes' theorem
  • Knowledge of probability notation (e.g., A', A ∩ B)
  • Basic probability calculations
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Homewoodm01
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An event A has a 70% chance of occurring, an event B has a 40% of occurring and the event (A n B) has a 20% chance of occurring. The events are not unrelated.

If A does not occur what is the probability of B?

notation A' means (not A)

I have tried to use the formula P(B|A') = P(B n A')/P(A')


However Not sure if that's the right way to go and if A' would be equal to .3.

Please Help :)
 
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Thanks for the link, I have used one of Baye's laws hopefully that helps give me the right answer.
 

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