diff --git a/homeassistant/components/sensor/random.py b/homeassistant/components/sensor/random.py
index bb06f131f2f..5a48ea40863 100644
--- a/homeassistant/components/sensor/random.py
+++ b/homeassistant/components/sensor/random.py
@@ -70,4 +70,4 @@ class RandomSensor(Entity):
     def async_update(self):
         """Get a new number and updates the states."""
         from random import randrange
-        self._state = randrange(self._minimum, self._maximum)
+        self._state = randrange(self._minimum, self._maximum + 1)