How to display and hide a div with CSS?

You need

.abc,.ab {
    display: none;
}

#f:hover ~ .ab {
    display: block;
}

#s:hover ~ .abc {
    display: block;
}

#s:hover ~ .a,
#f:hover ~ .a{
    display: none;
}

Updated demo at http://jsfiddle.net/gaby/n5fzB/2/

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The problem in your original CSS was that the , in css selectors starts a completely new selector. it is not combined.. so #f:hover ~ .abc,.a means #f:hover ~ .abc and .a. You set that to display:none so it was always set to be hidden for all .a elements.