JSFiddle - React, Tailwind, and code Playground

HTML

<body bgcolor="#ffffff">
<form id="FormName" action="" method="get" name="FormName">
    <select name="choice1" size="1">
    <option value="one">first</option>
    <option value="two">second</option>
    <option value="three">third</option>
    <option value="other">Other</option>
    </select>

    <input type="text" name="hiddenInput" value="">
    <table><tr id="ShowHide"><td>
        <input type="text" name="otherInput">
    </td></tr></table>
    <input type="submit" name="submitButtonName">
</form>
</body>

CSS

#showHide { display: none }

JavaScript

$(document).ready(function() {
    $("select[name=choice1]").change(function() {
       $(this).val() == 'other' ? $("#ShowHide").show() : $("#ShowHide").hide();
    });
});