<apex:page standardController="Opportunity">
<apex:includeScript value="/lightning/lightning.out.js" />
<script>
var profile = '{!$Profile.Name}';
$Lightning.use("c:ModalApp", function() {
    $Lightning.createComponent(
        "c:Modal",
        { "recordId" : '{!$CurrentPage.parameters.oppId}',
         "profile" : profile},
        "theOpp",
        function(cmp) {
            console.log("Component created!");
            console.log(cmp);
        });
});
</script>
<div id="theOpp"></div>