Solving Tree Diagram Problem - Exam Missed

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The discussion revolves around a missed exam question related to a tree diagram problem involving pet owners and bites. The individual initially proposed a formula of (95+8-N)/100000 to calculate the probability, where N represents the number of pet owners bitten by their own and others' pets. They believed the focus should be on finding P(Bitten by own pet|Bitten), which they calculated as 87/95. However, they later reconsidered and suggested that the correct answer might actually be 95/103. The conversation highlights confusion around the correct application of probability concepts in tree diagrams.
justinbaker
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ok so what am i doing wrong here? this was the only question i missed on my exam, and its driving me crazy...

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For (b) I'd have put (95+8-N)/100000 where N is the (unspecified) number of pet owners that are bitten by pets that are not their own and also bitten by their own pet.
 
I would have thought he would be after P(Bitten by own pet|Bitten) which would be 87/95
 
Sounds reasonable. But now I think the answer is 95/103.
 
I was reading documentation about the soundness and completeness of logic formal systems. Consider the following $$\vdash_S \phi$$ where ##S## is the proof-system making part the formal system and ##\phi## is a wff (well formed formula) of the formal language. Note the blank on left of the turnstile symbol ##\vdash_S##, as far as I can tell it actually represents the empty set. So what does it mean ? I guess it actually means ##\phi## is a theorem of the formal system, i.e. there is a...
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