JSFiddle - React, Tailwind, and code Playground
HTML
<input type="radio" name="selectPicture" value="http://i170.photobucket.com/albums/u277/AmandaisAwesomeQUACK/monkey.gif"/>
<input type="radio" name="selectPicture" value="http://freesmileyface.net/smiley/animals/monkey-crush2.gif" checked/>
<img id="image" src="http://freesmileyface.net/smiley/animals/monkey-crush2.gif" alt="image selected by radio buttons"/>
JavaScript
$(document).ready(function(){
$('input[name=selectPicture]').click(function(){
$('#image').attr('src', $('input[name=selectPicture]:checked').val());
});
});