Due funzioni che si potrebbero adattare alle tue necessità.

codice:
<div id="mydiv" style="height: 450px;">my div</div>
    <script>
        const myDiv = document.getElementById('mydiv')

        function rndBg1() {
            const rnd = Math.random() * 3 + 1 | 0
            myDiv.style.backgroundImage = `url('./images/bg-${rnd}.jpg')`
        }

        function rndBg2() {
            const images = [
                './images/bg-1.jpg',
                './images/bg-2.jpg',
                './images/bg-3.jpg'
            ].sort(() => Math.random() - .5)
            myDiv.style.backgroundImage = `url(${images[0]})`
        }

        rndBg1()
        // rndBg2()
    </script>