#Java 8, <s>60</s> <s>59</s> <s>54</s> 53 bytes

<!-- language-all: lang-java -->

    v->{for(;;)System.out.write(Math.random()<.5?47:92);}

-1 byte thanks to *@BenjaminUrquhart* by replacing `print` with `write`, so `'/'` can be `47`.

**Explanation:**

[Try it online](https://tio.run/##ZY49D4IwFEV3f8Ub24EORmO0fkyOspi4GIdnKVKFlrQP1BB@O4K4ubybl9yce@5YY3RPHp3KMQQ4oLHNBMBY0j5FpSEeXoDamQQUOw1Rc6DMu2eA/Uvpkoyzsi@1k/4EQjIKYrCwga6Otk3qPJOSH9@BdCFcReLpDWl2QMqER5u4gvG1mO9mi9VyymXbyQFUVte8B/143/mil2NH8sbezhf8lxhNrVDMVnnOR6e2@wA) (times out after 60 sec).

    v->{                     // Method with empty unused parameter and no return-type
      for(;;)                //  Loop indefinitely
        System.out.write(    //   Print:
          Math.random()<.5?  //    If the random decimal value in range [0,1) is below 0.5:
           47                //     Print forward slash
          :                  //    Else:
           92);}             //     Print backward slash