Prevent page from reloading after onchange a select menu

I apologize if this is a very simple question, however I am not able to find any answers or don't know what I am doing wrong here.Also I am new to ajax and jquery. Thanks for helping in advance!

I have a select menu which I want to submit to the page on change I have the following:

<from action="" method="post">
<select name="option">
<option value="a">a </option>
<option value"b">b </option>
<option value"c">c</option>
</select></form>

and

<script type="text/javascript" >
$('#option').change, (function(e)  
{ 
   e.preventDefault();
   $.ajax({
        type: 'post',
        url: "",
        data: $("form.option").serialize(),
        success: function() {     
        }
    });
    return false;
});
</script>

and to check if it has submitted

<?php
if (isset($_POST['option'])) {
    echo '<br />The ' . $_POST['option'] . ' submit button was pressed<br />';
}
?>

The form is submitted fine, however the page is still reloading on change, is there a way to stop the reloading of the page? Any help would be appreciated!

Solution

Try this

<select id="option" name="option">
<option value="a">a </option>
<option value"b">b </option>
<option value"c">c</option>
</select>

And your jquery should be

<script type="text/javascript" >
  $('#option').change(function()  
  { 
      var option_val = $(this).val();
      $.ajax({
        type: 'post',
        url: "",
        data: "option="+option_val,
        success: function(res) 
        {  
            alert(res)   
        }
      });
  });
</script>

Simple Example :

<?php
if (isset($_POST['option'])) {
    echo '<br />The ' . $_POST['option'] . ' submit button was pressed<br />';
    die;
}
?>
<!DOCTYPE html>
<html>
<head>
    <title>temporary test</title>
</head>
<body>
<select id="option">
    <option value="1">1</option>
    <option value="2">2</option>
    <option value="3">3</option>
</select>
</body>
<script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.2.1/jquery.min.js"></script>
<script type="text/javascript">
    $('#option').change(function(){
        var option_val = $(this).val();
        $.ajax({
        type: 'post',
        url: "",
        data: "option="+option_val,
        success: function(res) 
        {  
            alert(res)   
        }
        });
    });
</script>
</html>