CSS: On hover show and hide different div's at the same time? [duplicate]

http://jsfiddle.net/MBLZx/

Here is the code

 .showme{ 
   display: none;
 }
 .showhim:hover .showme{
   display : block;
 }
 .showhim:hover .ok{
   display : none;
 }
 <div class="showhim">
     HOVER ME
     <div class="showme">hai</div>
     <div class="ok">ok</div>
</div>

   

if the other div is sibling/child, or any combination of, of the parent yes

    .showme{ 
        display: none;
    }
    .showhim:hover .showme{
        display : block;
    }
    .showhim:hover .hideme{
        display : none;
    }
    .showhim:hover ~ .hideme2{ 
        display:none;
    }
    <div class="showhim">
        HOVER ME
        <div class="showme">hai</div> 
        <div class="hideme">bye</div>
    </div>
    <div class="hideme2">bye bye</div>

Have you tried somethig like this?

.showme{display: none;}
.showhim:hover .showme{display : block;}
.hideme{display:block;}
.showhim:hover .hideme{display:none;}

<div class="showhim">HOVER ME
  <div class="showme">hai</div>
  <div class="hideme">bye</div>
</div>

I dont know any reason why it shouldn't be possible.