How Should I Interpret P(A and B|C)?

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SUMMARY

The expression P(A and B|C) should be interpreted as P((A and B)|C), confirming that the intersection of events A and B is conditioned on event C. The alternative interpretation, P(A and (B|C)), lacks meaning because P(B|C) represents a conditional probability rather than a discrete event. This distinction is crucial for accurate probability calculations and interpretations in statistical analysis.

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alexei_kom
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Hello everybody!

Should I interpret the expression P(A and B|C) as P((A and B)|C) or as P(A and (B|C))?

Or the last expression has no meaning because P(B|C) is a ratio and I can't make an intersection with a ratio?



Thanks,

Alexei.
 
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I interpet it as the first. And you're right, the second expression doesn't make much sense...
 
micromass said:
I interpet it as the first. And you're right, the second expression doesn't make much sense...

Thank you very much!
 

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