click select option to update div jquery

You can apply any one approach:

$("#Input_Id").change(function(){   // 1st
    // do your code here
    // When your element is already rendered
});


$("#Input_Id").on('change', function(){    // 2nd (A)
    // do your code here
    // It will specifically called on change of your element
});

$("body").on('change', '#Input_Id', function(){    // 2nd (B)
    // do your code here
    // It will filter the element "Input_Id" from the "body" and apply "onChange effect" on it
});

$("input").change(function(){
  alert("The text has been changed.");
});

    $('#choose').change(function(event) {
        $.post('info.php', { selected: $('#choose').val() },
            function(data) {
                $('#update').html(data);
            }
        );            
    });