How to make an alternative index.php with random posts

Hi! I’d like to offer an alternate index.php of my theme with posts given in random order. For example i want to make a copy of index.php, name it random.php and have it as https://www.domain.com/random/ on my website. Now i know what arguments i have to give to list posts randomly in the query loop, but how can i make everything work as it’s own page on my site?