If the code you posted:
<asp:RadioButton ID="chbYesToOpen" runat="server" GroupName="ChangeToOpen" Text="Yes" Checked="false" />
<asp:RadioButton ID="chbNoToOpen" runat="server" GroupName="ChangeToOpen" Text="No" Checked="true" />
Is the code you are ustrying the following?:
chbYesToOpen.Checked = true;
Well I think this is the problem because you can't have 2 of them set as true. So try clearing the one that is set to true first and then setting the one you wanted checked after:
chbNoToOpen.Checked = false;
chbYesToOpen.Checked = true;
Or make sure in your markup, they are both set to Checked="false"
by default and you should be ok to just set one to false.
Edit: I just tested your exact scenario and was able to recreate it and the solution I mentioned will fix your issue.