diff --git a/homeassistant/components/random/binary_sensor.py b/homeassistant/components/random/binary_sensor.py
index 0c5b4a8b0dd..a6d330e6151 100644
--- a/homeassistant/components/random/binary_sensor.py
+++ b/homeassistant/components/random/binary_sensor.py
@@ -54,6 +54,8 @@ async def async_setup_entry(
 class RandomBinarySensor(BinarySensorEntity):
     """Representation of a Random binary sensor."""
 
+    _attr_translation_key = "random"
+
     def __init__(self, config: Mapping[str, Any], entry_id: str | None = None) -> None:
         """Initialize the Random binary sensor."""
         self._attr_name = config.get(CONF_NAME)
diff --git a/homeassistant/components/random/icons.json b/homeassistant/components/random/icons.json
new file mode 100644
index 00000000000..83d5ecd0688
--- /dev/null
+++ b/homeassistant/components/random/icons.json
@@ -0,0 +1,14 @@
+{
+  "entity": {
+    "binary_sensor": {
+      "random": {
+        "default": "mdi:dice-multiple"
+      }
+    },
+    "sensor": {
+      "random": {
+        "default": "mdi:dice-multiple"
+      }
+    }
+  }
+}
diff --git a/homeassistant/components/random/sensor.py b/homeassistant/components/random/sensor.py
index f1ca4290d83..8cc21e34ce9 100644
--- a/homeassistant/components/random/sensor.py
+++ b/homeassistant/components/random/sensor.py
@@ -65,6 +65,8 @@ async def async_setup_entry(
 class RandomSensor(SensorEntity):
     """Representation of a Random number sensor."""
 
+    _attr_translation_key = "random"
+
     def __init__(self, config: Mapping[str, Any], entry_id: str | None = None) -> None:
         """Initialize the Random sensor."""
         self._attr_name = config.get(CONF_NAME)