Show specific options in dropdown

Change option available in dropdwon based on radio button selected

HTML

<form method="post">
    <fieldset id="Group1" name="Group1">
    <legend>Group box</legend>
    <input id="Radio1" name="Radio1" type="radio" value="House" />House<br />
    <input id="Radio1" name="Radio1" type="radio" value="Condo" />Condo<br />
<input id="Radio1" name="Radio1" type="radio" value="Boat" />Boat<br />
    </fieldset><br/><br/>
    
    <fieldset id="Group2" name="Group2">
    <legend>Group Options</legend>
    <select id="Select1" name="Select1">
    <option value="HO-House 1">House 1</option>
    <option value="HO-House 2">House 2</option>
    <option value="HO-House 3">House 3</option>
    <option value="CO-Condo 1">Condo 1</option>
    <option value="CO-Condo 2">Condo 2</option>
    <option value="CO-Condo 3">Condo 3</option>
    <option value="BO-Boat 1">Boat 1</option>
    <option value="BO-Boat 2">Boat 2</option>
    <option value="BO-Boat 3">Boat 3</option>
    
    </select></fieldset></form>

JavaScript

$(function(){
    
    var select = $('#Select1'),
        options = select.find('option');
    
    $('[type="radio"]').click(function(){
        var visibleItems = options.filter('[value*="' + $(this).val()  + '"]').show();
        options.not(visibleItems).hide();
        
        if(visibleItems.length > 0)
        {
            select.val(visibleItems.eq(0).val());
        }
    });
});