MHB How Should I Start My Probability Question to Get the Best Help?

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To receive the best help with probability questions, users should share their progress, including any work done or initial thoughts. This practice allows helpers to understand where the user is struggling and avoid suggesting solutions that have already been attempted. Providing context enhances the quality of assistance and saves time for both the user and the helper. Engaging with the community in this manner fosters more effective problem-solving. Sharing your progress is essential for optimal support in tackling probability challenges.
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Hello Marcus Cheng and welcome to MHB! :D

We ask that our users show their progress (work thus far or thoughts on how to begin) when posting questions. This way our helpers can see where you are stuck or may be going astray and will be able to post the best help possible without potentially making a suggestion which you have already tried, which would waste your time and that of the helper.

Can you post what you have done so far?
 

Thread 'Deductive proof in logic formal systems'

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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