Trouble changing the style on a table within a div statement - css

Question

I created a table in HTML5 and used CSS to make it pretty. Then I decided to add a scroll bar and used webkit to change the style of that. Now after I used a div to get my scroll bar working it seems like my CSS code for the tbody,tr,thead,etc. are not working. I was wondering what I am doing wrong. I am positive that I am not calling the html table attributes correctly. I am very new to html5 and css but would really like to learn more.
Here is my code:
UPDATED 7/11/2013 9:36pm
CSS CODE
::-webkit-scrollbar {
width: 12px;
color:crimson;
background-color: black;
border-radius: 10px;
}
::-webkit-scrollbar-track {
-webkit-box-shadow: inset 0 0 6px rgba(0,0,0,0.3);
border-radius: 10px;
background-color:black;
}
::-webkit-scrollbar-thumb {
border-radius: 10px;
-webkit-box-shadow: inset 0 0 6px rgba(0,0,0,0.5);
background-color:gray;
}
.mytablecontainer #mytable{
width:500px;
border-collapse:separate;
background:crimson;
border-radius: 15px;
}
.mytablecontainer tbody {
overflow: auto;
height: 150px;
float: left;
width: 100%;
}
.mytablcontainer #mytable td {
text-align:center;
background:gray;
border-bottom:5px solid black;
border-radius: 15px;
}
.mytablecontainer #mytable th {
font-weight:bold;
text-align:center;
background:crimson;
border-bottom:5px solid black;
border-top-left-radius: 15px;
border-top-right-radius: 15px;
float: left;
width: 100%;
}
.mytablecontainer #mytable tr {
width: 100%;
display: table;
}
HTML5 CODE
<div class="mytablecontainer">
<table id="mytable">
<thead>
<tr>
<span>
Playlist
</span>
</tr>
</thead>
<tbody>
<tr>
<td> <span>
LINK 1
</span>
</td>
</tr>
<tr>
<td> <span>
LINK 2
</span>
</td>
</tr>
<tr>
<td> <span>
LINK 3
</span>
</td>
</tr>
<tr>
<td> <span>
LINK 4
</span>
</td>
</tr>
<tr>
<td> <span>
LINK 5
</span>
</td>
</tr>
<tr>
<td> <span>
LINK 6
</span>
</td>
</tr>
<tr>
<td> <span>
LINK 7
</span>
</td>
</tr>
</tbody>
</table>
</div>

Answer 1

.mytablcontainer #mytable.td {} remove "." dot before td and correct the spelling of your class
.mytablecontainer #mytable td {}
Demo

Answer 2

you do not need to call each time your main div selector try this css
::-webkit-scrollbar {
width: 12px;
color:crimson;
background-color: black;
border-radius: 10px;
}
::-webkit-scrollbar-track {
-webkit-box-shadow: inset 0 0 6px rgba(0,0,0,0.3);
border-radius: 10px;
background-color:black;
}
::-webkit-scrollbar-thumb {
border-radius: 10px;
-webkit-box-shadow: inset 0 0 6px rgba(0,0,0,0.5);
background-color:gray;
}
.mytablecontainer #mytable{
width:500px;
border-collapse:separate;
background:crimson;
border-radius: 15px;
}
#mytable tbody {
overflow: auto;
height: 150px;
float: left;
width: 100%;
}
#mytable td {
text-align:center;
background:gray;
border-bottom:5px solid black;
border-radius: 15px;
}
#mytable th {
font-weight:bold;
text-align:center;
background:crimson;
border-bottom:5px solid black;
border-top-left-radius: 15px;
border-top-right-radius: 15px;
float: left;
width: 100%;
}
#mytable tr {
width: 100%;
display: table;
}

Answer 3

for multiple attribute use this:
#mytable table, #mytable th, #mytable td {
border: 1px solid black;
border-collapse: collapse;
}