Using datasource with CheckBoxList

I use CheckBoxList in my Windows Forms application and am trying to apply a datasource for it.

Having a DataTable, 'dt', with columns id, name and ischecked, I use such code:

((ListBox)MyCheckBoxList).DataSource = dt;
((ListBox)MyCheckBoxList).DisplayMember = "name";
((ListBox)MyCheckBoxList).ValueMember = "id";

How do I set CheckState for all items in MyCheckBoxList?

I keep this value in my datatable and want to link them with MyCheckBoxList.