JSFiddle - React, Tailwind, and code Playground

HTML

<input type="checkbox" class="example" id="chk1" />
<input type="checkbox" class="example" id="chk2"/>

JavaScript

$('input#chk1').on('change', function() {
    $('input#chk2').prop('checked', false);  
});
$('input#chk2').on('change', function() {
    $('input#chk1').prop('checked', false);  
});