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<p>Second item nth-child(2)</p>
<div class="one">
    <span>Span</span>
    <p>Paragraph one</p>
    <p>Paragraph two</p>
    <p>Paragraph three</p>
</div>

<p>Second item nth-of-type(2)</p>
<div class="two">
    <span>Span</span>
    <p>Paragraph one</p>
    <p>Paragraph two</p>
    <p>Paragraph three</p>
</div>
body{
  font-family: 'Arial';
}
div *{
  background-color: #fff;
  padding: 10px;
  display: block;
  margin: 0;
}
.one p:nth-child(2){
  background: #54c2ee;
}
.two p:nth-of-type(2){
  background: #54c2ee;
}