This is a function with the following designer code. I have made updates to include the latest answer.
function OnClientLoBChecked(sender, args) {
var ChkBoxLOB = document.getElementById("<%= cbFLoB.ClientID %>");
var ChkBoxDis = document.getElementById("<%= chkBoxShowNewProjects.ClientID %>");
if (ChkBoxLOB.Checked) {
ChkBoxDis.checked = false;
} else {
ChkBoxDis.checked = true;
}
filterChanged();
}
<telerik:radcombobox id="cbFLob" runat="server" datatextfield="LobName" checkboxes="true" OnClientItemChecked="OnClientItemChecked">