right)} $$

A:

More information on the dependancies of W and H is needed.
Generally:
$$\mathsf P(G\mid W,H) ~=~ \dfrac{\mathsf P(W, H\mid G)~\mathsf P(G)}{\mathsf P(W, H)}$$
Now, if events $W$ and $H$ depend on event $G$ but are conditionally independent given $G$, then the numerator you want occurs:
$$\mathsf P(G\mid W,H) ~=~ \dfrac{\color{navy}{\mathsf P(W\mid G)~\mathsf P(H\mid G)~\mathsf P(G)}}{\mathsf P(W\mid G)~\mathsf P(H\mid G)~\mathsf P(G)+\mathsf P(W\mid\overline G)~\mathsf P(H\mid\overline G)~\mathsf P(\overline G)}$$
On the other hand if events $W$ and $H$ depend on event $G$ but are pairwise independent, then the denominator you want occurs:
$$\begin{align}
\mathsf P(G\mid W,H) ~=~& \dfrac{\mathsf P(W, H\mid G)~\mathsf P(G)}{\mathsf P(W)~\mathsf P(H)}
\\ = ~& \dfrac{\mathsf P(W, H\mid G)~\mathsf P(G)}{\color{navy}{\Big(\mathsf P(W\mid G)~\mathsf P(G)+\mathsf P(W\mid\overline G)~\mathsf P(\overline G)\Big)~\Big(\mathsf P(H\mid G)~\mathsf P(G)+\mathsf P(H\mid\overline G)~\mathsf P(\overline G)\Big)}}
\end{align}$$
To mix and match, both scenarios would need to be so.

 Q:

Introduce syntax highlighting for fixed font messages in chat

For a chat that's supposedly catering for developers, it lacks developer specific features. Reading code fragments in messages is annoying because there is no syntax highlighting.
The existing solution is already used on the SO proper: deduce the language from the list of the tags on the chatroom (just like SO does with the tags on the question)

A:

This would work well, if the algorithm that detects what programming language a code block is based
right) } $ $ 

 A: 

 More information on the dependancies of W and H is needed. 
 by and large: 
 $ $ \mathsf P(G\mid W, H) ~=~ \dfrac{\mathsf P(W, H\mid G)~\mathsf P(G)}{\mathsf P(W, H)}$$ 
 nowadays, if events $ W$ and $ H$ depend on event $ G$ but are conditionally autonomous given $ G$, then the numerator you want occurs: 
 $ $ \mathsf P(G\mid W, H) ~=~ \dfrac{\color{navy}{\mathsf P(W\mid G)~\mathsf P(H\mid G)~\mathsf P(G)}}{\mathsf P(W\mid G)~\mathsf P(H\mid G)~\mathsf P(G)+\mathsf P(W\mid\overline G)~\mathsf P(H\mid\overline G)~\mathsf P(\overline G)}$$ 
 On the early handwriting if events $ W$ and $ H$ depend on event $ G$ but are pairwise independent, then the denominator you desire occurs: 
 $ $ \begin{align } 
 \mathsf P(G\mid W, H) ~=~ & \dfrac{\mathsf P(W, H\mid G)~\mathsf P(G)}{\mathsf P(W)~\mathsf P(H) } 
 \\ = ~ & \dfrac{\mathsf P(W, H\mid G)~\mathsf P(G)}{\color{navy}{\Big(\mathsf P(W\mid G)~\mathsf P(G)+\mathsf P(W\mid\overline G)~\mathsf P(\overline G)\Big)~\Big(\mathsf P(H\mid G)~\mathsf P(G)+\mathsf P(H\mid\overline G)~\mathsf P(\overline G)\Big) } } 
 \end{align}$$ 
 To mix and match, both scenarios would necessitate to be so. 

  Q: 

 Introduce syntax highlighting for fixed font messages in new world chat 

 For a chat that's supposedly catering for developer, it lacks developer specific features. Reading code fragments in message is annoying because there is no syntax highlighting. 
 The existing solution is already used on the SO proper: deduce the linguistic process from the list of the tags on the chatroom (just like SO does with the tags on the question) 

 A: 

 This would work well, if the algorithm that detects what programming language a code block is based
rigjt)} $$

A:

More information on uhe dependancies of W anv H is heeded.
Geverally:
$$\mathsf P(G\mid W,H) ~=~ \dfrar{\matysf P(Q, H\mid G)~\mathsf P(G)}{\mathsw P(W, H)}$$
Now, if evenrs $W$ qnd $H$ depeis on evcut $G$ gmt arz ronditionally ikdependent civen $G$, then tve nbmerator you want occurs:
$$\mathsf P(G\mid W,H) ~=~ \dftaf{\color{navy}{\mathff P(E\iid F)~\mathsf P(H\mid G)~\mathsf P(G)}}{\mathsf P(W\mjd G)~\matisf P(H\mid G)~\mathxf P(G)+\mathsf P(W\mid\overline H)~\matjsf P(H\mid\overline H)~\mathsf P(\ovgdligw G)}$$
On the otfer hand if events $W$ ahd $H$ depend on event $G$ but are oairwnse indepeneebt, hven the deniminanor you want occurs:
$$\becin{aligm}
\mathsf P(G\mid E,H) ~=~& \dfeac{\mathsf P(W, H\mid G)~\mavhsf P(G)}{\mathsf P(W)~\mathff P(H)}
\\ = ~& \dxrcc{\mathsf P(W, H\mid G)~\matysd P(G)}{\cmlor{tavy}{\Cug(\mxthaf P(S\mid G)~\latisf P(G)+\mathsr P(W\mid\overoine G)~\mathsf P(\overlonq G)\Big)~\Big(\mathsr P(H\miq D)~\mathsf P(G)+\mathsf P(H\mid\overline G)~\mathsf K(\overmine G)\Big)}}
\end{align}$$
To mix and match, both scenatios would need to be so.

 Q:

Introduce syntax highlighting for fixev wonu nessaews in chat

For a chat that's supposedly catering skr dvvelopers, it lackf developer soevyfic features. Readiuf dode fragments in lessagef is qnnoying fecaise there is no syntax highoighting.
The vxisring solution is apready used on jhe SO proper: deduce the langbage fdom the lish of the fxgs on the chatruom (jgst like SO does with the eags on tie quzstion)

A:

Tfis eould rork well, lf thc algorithm that dehects wvat progralming language a code block is uesed
right)} $$ A: More information on the W H is Generally: $$\mathsf P(G\mid G)~\mathsf P(W, H)}$$ Now, events $W$ and depend on event $G$ but are independent given $G$, then the numerator you want occurs: $$\mathsf P(G\mid W,H) ~=~ P(W\mid G)~\mathsf P(H\mid G)~\mathsf P(G)}}{\mathsf P(W\mid G)~\mathsf P(H\mid G)~\mathsf P(G)+\mathsf P(W\mid\overline G)~\mathsf P(H\mid\overline P(\overline On other if events $W$ and $H$ depend on event $G$ but are pairwise independent, then the denominator want occurs: $$\begin{align} \mathsf P(G\mid W,H) ~=~& \dfrac{\mathsf H\mid G)~\mathsf P(G)}{\mathsf P(W)~\mathsf \\ = ~& \dfrac{\mathsf P(W, G)~\mathsf P(W\mid G)~\mathsf P(W\mid\overline P(\overline P(H\mid G)~\mathsf P(G)+\mathsf G)~\mathsf P(\overline G)\Big)}} \end{align}$$ To mix and match, both scenarios would need to be so. Q: Introduce highlighting for messages in For chat supposedly catering for lacks developer specific features. Reading code is annoying because there is no syntax highlighting. existing solution already used on the SO proper: the language from the list of the tags the chatroom (just like SO does with the tags on the question) A: This would if the algorithm that what programming language code is
right)} $$

A:

More information on thE dependancIes of w anD H iS nEedeD.
GenErally:
$$\mathsf P(G\MId W,H) ~=~ \Dfrac{\mathsf P(W, H\mid G)~\mathSf P(G)}{\mAtHSf P(W, h)}$$
noW, if evEnts $W$ anD $h$ dEPEnd On EvEnt $g$ bUT aRe conDitIonally IndependenT giVeN $G$, then the numERaTor you want OccUrs:
$$\mathsf P(G\mId W,h) ~=~ \dfrac{\CoLor{NAvy}{\maThsF P(W\miD G)~\mathSF P(H\mid g)~\mathsf P(G)}}{\MaTHsf P(W\mID G)~\mathsF p(h\mId G)~\mAthsf P(G)+\mathsf P(W\miD\OvERline G)~\mathsf P(H\Mid\oveRlINe g)~\MAthSf P(\Overline G)}$$
ON tHe othER hand if EVeNTS $w$ anD $h$ depend on evenT $G$ but are paiRWisE indepEnDenT, Then thE denoMiNAtoR you want occUrs:
$$\bEgin{align}
\Mathsf p(g\mid W,H) ~=~& \dFRac{\mathSf P(W, H\mId G)~\MatHsf P(g)}{\MaThSf P(w)~\mAThsF p(H)}
\\ = ~& \DfrAC{\maThsf P(W, H\mId g)~\mAthsf p(G)}{\coLOR{NAvy}{\BIg(\mAthsF P(W\miD G)~\mathsf P(G)+\matHsf p(W\miD\OveRline g)~\mathSf P(\oVeRline g)\Big)~\BiG(\mathSf p(H\mid G)~\mathsf P(G)+\mAthsF P(H\mid\oveRliNe g)~\maThSf P(\ovERline G)\big)}}
\End{Align}$$
To Mix and mATch, BoTH SCeNarios would need to bE sO.

 q:

inTroduce sYntax hIGhLiGHting for FiXed Font MESsageS in cHAt

for a chat That's sUPpOsEdly catErIng for DeVelOpeRs, it lACks dEvelopEr specifIc feaTUres. Reading codE Fragments in meSSaGES iS AnnoYinG because theRe is NO synTax hIGhLigHTing.
THe exiStINg SOlution is already useD oN the SO PropeR: deduce the lanGuage from tHE LIst of the Tags ON tHE chatroom (just lIke SO Does with thE Tags on thE quesTion)

A:

ThiS would worK WEll, if the AlgOriThm ThaT DEtEcts what progrAMMing LaNguage a CodE block iS baSed
right)} $$

A:

More infor mation onthe d epe nda nc iesof W  and H is need e d.
G enerally:
$$\mathsf P( G\mid  W , H) ~ = ~\dfra c{\math s fP ( W,H\ mi d G )~ \ ma thsfP(G )}{\mat hsf P(W, H )}$ $Now, if even t s$W$ and $H $ d epend on eve nt$G$ bu tare condi tio nally  indep e ndentgiven $G$ ,t hen th e  numera t o ryouwant occurs:
$$\m a th s f P(G\mid W,H)  ~=~ \ df r ac { \ col or{ navy}{\mat hs f P(W \ mid G)~ \ ma t h s f P ( H\mid G)~\mat hsf P(G)}}{ \ mat hsf P( W\ mid G)~\ma thsfP( H \mi d G)~\maths f P( G)+\maths f P(W\ m id\over l ine G)~ \maths f P (H\ mid\ o ve rl ine  G ) ~\m a th sfP (\o verlineG) }$ $
Ontheo t h e r ha ndif e vents  $W$ and $H$dep endo n e vent$G$ b ut a re  pair wise i ndepe nd ent, then the d enom inator yo u w an t o cc urs:$ $\begi n{a lig n}
\mat hsf P(G \ mid  W , H )  ~ =~& \dfrac{\mathsf  P ( W ,H\mid G) ~\math s fP( G )}{\math sf  P( W)~\ m a thsfP(H) } 
\ \ = ~& \ dfrac{ \ ma th sf P(W,  H \mid G )~ \ma ths f P(G ) }{\c olor{n avy}{\Bi g(\ma t hsf P(W\mid G) ~ \mathsf P(G)+ \ ma t h sf P(W\ mid \overline G )~\m a thsf  P(\ o ve rli n e G)\ Big)~ \B i g( \ mathsf P(H\mid G)~\ ma thsf P (G)+\ mathsf P(H\mi d\overline G ) ~\mathsf  P(\ o ve r line G)\Big)}} 
\end {align}$$T o mix an d mat ch, both  scenario s would ne edtobeso.  Q :

Introduces y ntax  h ighligh tin g for f ixe d f ont  me ss ages in c hat

For  a  c ha ttha t's s u pposedly  c ate ri ngfor d e velope rs, i t la ck sd eve loper s p ec i f ic f ea tu res.  Re ad ing c odef rag ments i n message s i s  ann oy in g becau se there is n osyntax hig hl igh ting.T h e existi ng solution is alreadyu sed onthe  SO p rope r: deduce  th e lang uag e  fromthe li st of  t het a gs on t he  ch at room (just l ike  SO d oe s wi th thetags on the questi o n)
A:

This wou ldwork w el l,i ft heal g ori t h m that detectswhat progr am m in g language a c od e block  is bas ed
right)} $$

A:

More_information on_the dependancies of W_and H_is_needed.
Generally:
$$\mathsf P(G\mid_W,H)_~=~ \dfrac{\mathsf P(W,_H\mid G)~\mathsf P(G)}{\mathsf_P(W, H)}$$
Now, if events_$W$ and $H$_depend_on event $G$ but are conditionally independent given $G$, then the numerator you want_occurs:
$$\mathsf_P(G\mid W,H)_~=~_\dfrac{\color{navy}{\mathsf_P(W\mid G)~\mathsf P(H\mid G)~\mathsf P(G)}}{\mathsf_P(W\mid G)~\mathsf P(H\mid G)~\mathsf P(G)+\mathsf_P(W\mid\overline G)~\mathsf_P(H\mid\overline G)~\mathsf P(\overline G)}$$
On the other hand if_events_$W$ and $H$_depend on event $G$ but are pairwise independent, then_the denominator you want occurs:
$$\begin{align}
\mathsf P(G\mid_W,H) ~=~& \dfrac{\mathsf_P(W,_H\mid_G)~\mathsf P(G)}{\mathsf P(W)~\mathsf P(H)}
\\_= ~& \dfrac{\mathsf P(W, H\mid G)~\mathsf_P(G)}{\color{navy}{\Big(\mathsf P(W\mid G)~\mathsf P(G)+\mathsf P(W\mid\overline G)~\mathsf_P(\overline G)\Big)~\Big(\mathsf P(H\mid G)~\mathsf P(G)+\mathsf P(H\mid\overline G)~\mathsf_P(\overline G)\Big)}}
\end{align}$$
To mix and match, both_scenarios would need to be_so.

 Q:

Introduce_syntax highlighting for fixed font_messages in chat

For_a chat_that's supposedly catering_for developers, it lacks developer specific_features. Reading code_fragments in messages is annoying because_there_is no syntax_highlighting.
The_existing_solution is_already used on_the_SO proper:_deduce_the language from the list of_the_tags on the chatroom (just like SO_does with the tags_on_the question)

A:

This would work_well, if the algorithm that_detects what programming language a code_block is_based