Changing the states of Check Boxes

Hello.

So here is what I am trying to do...

I am creating a button set using check boxes so that only one check box is selected when the user clicks on any of the check boxes.

I want one check box to display a check mark "correct" and the others to display a red "X" when selected.

However, when I try to edit the selected state of the check box, I cannot remove the check mark to add a red X. 

I don't want this interaction to be graded.  I am strictly using it as a "take a guess" see if you get it right.  

Does anyone know how I can make this work?

 

Thanks so much!