DataGridView.SelectionChanged appears broken

Question

The DataGridView.SelectionChanged event appears broken in two places:
 
First it reports CurrentRow.Selected = false always.
    The past tense SelectionChanged should be called
    after the selection is done changing completely.
 
Second, we get two different results if we change the
    row by clicking in the datagrid or pressing buttons
    and changing the row programatially.  If we click
    in the datagrid to change the row, the RowIndex is set
    to the clicked row.  However, if we change the row
    programatically, the RowIndex is set to the row we
    are leaving.

using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Windows.Forms;
using System.Diagnostics;

namespace Tester
{
   public partial class Form1 : Form
   {
      public Form1()
      {
         InitializeComponent();
         this.Load += new System.EventHandler(Form1_Load);
      }
      protected void Form1_Load(object sender, System.EventArgs e)
      {
         // Add five rows two columns
         for ( int x = 0; x < 5; x++ )
         {
            dataGridView1.Rows.Add("Row: " + x.ToString() + "  Col: 1",
                                                     "Row: " + x.ToString() + "  Col: 2");
         }

      }

      private void dataGridView1_SelectionChanged(object sender, EventArgs e)
      {
         String selected = dataGridView1.CurrentRow.Selected ? "True" : "False";
         int rowIndex = dataGridView1.CurrentCell.RowIndex;

         Debug.WriteLine("RowIndex: " + rowIndex.ToString() );
         Debug.WriteLine("selected: " + selected );
         Debug.WriteLine("=========================================");

      }

      private void button1_Click(object sender, EventArgs e)
      {
         dataGridView1.CurrentCell = dataGridView1[0, 3];
      }

      private void button2_Click(object sender, EventArgs e)
      {
         dataGridView1.CurrentCell = dataGridView1[0, 2];
      }

   }
}