diff --git a/axelrod/random_.py b/axelrod/random_.py
index b0b39898d..35f0de547 100644
--- a/axelrod/random_.py
+++ b/axelrod/random_.py
@@ -8,8 +8,7 @@ def random_choice(p: float = 0.5) -> Action:
     """
     Return 'C' with probability `p`, else return 'D'
 
-    Emulates Python's random.choice(['C', 'D']) since it is not consistent
-    across Python 2.7 to Python 3.4
+    No random sample is carried out if p is 0 or 1.
 
     Parameters
     ----------