Woocommerce: "buy a random product"- item (like a pack opening in video games)

I want to sell a few different shirt designs and i was looking for ways to build webshops, i've used woocommerce for wordpress more often so i thought i'd go with that one.

The problem is that i want to sell these shirts individually, but i also want there to be a option that people can get a random one for 75% of the price. What i want is for people to buy a "random shirt", and after that there will be an animation showing which one you got.

Does anybody know if it's possible to do this?