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Why does

pPost[1, k_, p_: 2/3, p1_: 1/3, p2_: 2/3] := 
  (p p1^k (1 - p1)^(3 - k))/(p p1^k (1 - p1)^(3 - k) + (1 - p) p2^k (1 - p2)^(3 - k));
pPost[2, k_, p_: 2/3, p1_: 1/3, p2_: 2/3] := 
  ((1 - p) p2^k (1 - p2)^(3 - k))/(p p1^k (1 - p1)^(3 - k) + (1 - p) p2^k (1 - p2)^(3 - k));

    Plot[pPost[1, k, p, p1, p2], {k, 0, 3},
      PlotStyle -> {Dashed, Thin}, 
      PlotRange -> {All, {0, 1}}, 
      Ticks -> {{0, 1, 2, 3}, Automatic}],
      {{#, pPost[1, #, p, p1, p2]} & /@ Range[0, 3], 
       {#, pPost[2, #, p, p1, p2]} & /@ Range[0, 3]},
      PlotStyle -> {Green, Red}, 
      Filling -> Axis]],
  {{p, 2/3}, 0, 1},
  {{p1, 1/3}, 0, 1}, 
  {{p2, 2/3}, 0, 1}]

produce plots where the filling "disconnects" from the axis for some values of the Manipulate parameters?

Try p=0.75, p1=0.7, p2=0.6:

or (weirder) p=p1=p2=0.5

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marked as duplicate by gpap, rasher, Oleksandr R., Sjoerd C. de Vries, m_goldberg Apr 23 at 13:12

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

Didn't test but I suspect the Show. Set the final plot range in the ListPlot too, not just in Show, and set it to the same in all. Sorry if this doesn't help. –  Szabolcs Apr 5 at 20:22
@Szabolcs: Setting PlotRange -> {All, {0, 1}} in ListPlot seems to do the trick. Where is the need for that documented? –  raxacoricofallapatorius Apr 5 at 20:40
I'm glad this helped. Sorry, I don't know where this is documented. What happens is that the lines are drawn only until the edge of the PlotRange. When you combine two graphics with Show, the PlotRange will be inherited from the first, so the filling lines for the second might not reach the frame edge. –  Szabolcs Apr 6 at 0:55
@Szabolcs: Thanks, that looks like an answer. (Still no sign of where this is documented; I bet it isn't, or at least not well.) –  raxacoricofallapatorius Apr 6 at 22:28

1 Answer 1

While the order of the plots in Show makes difference, it is not the whole story. By default, many options are set automatically at the time of execution. In particular, PlotRange and AxesOrigin. The settings for Plot and ListPlot are determined separately since they are evaluated separately. This much I think can be inferred from the documentation, although not "easily."

When the ListPlot has a narrow plot height, the axes origin is moved up closer to the points. This can be controlled by setting PlotRange as mentioned in the comments. I would prefer to control it by setting

 AxesOrigin -> {0, 0}

in ListPlot to force the axes to always be at {0, 0}, and let the PlotRange be determined automatically.

Often in practice, to get two or more independent plots to look right when combined, automatically determined options often have to be set explicitly in all plots.

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