Checkbox to control radio buttons

I have a checkbox and 3 radio buttons, I'm trying to have one of the radio buttons selected if the checkbox is checked and have any of them un-selected if the checkbox is unchecked.

My solution works on the first run, but wont select the radio button after the first click.

$('#checkbox-h-2g').click(function () {
    if ($('#checkbox-h-2g').is(":checked")) {
        $('#r1').attr('checked', true);
    }if (!$('#checkbox-h-2g').is(":checked")) {
        $('#r1 , #r2, #r3').attr('checked', false);
    }
});