diff -r b295b2286697 Lib/random.py
--- a/Lib/random.py	Wed Jul 01 11:29:34 2015 -0400
+++ b/Lib/random.py	Thu Jul 02 13:32:27 2015 -0400
@@ -824,6 +824,16 @@
         x = long(_hexlify(_urandom(bytes)), 16)
         return x >> (bytes * 8 - k)             # trim excess bits
 
+    def randrange(self, start, stop=None, step=1):
+        """Choose a random item from range(start, stop[, step]).
+
+        This fixes the problem with randint() which includes the
+        endpoint; in Python this is usually not what you want.
+
+        """
+        # http://bugs.python.org/issue23974
+        return super(SystemRandom, self).randrange(start, stop, step, _maxwidth=0)
+
     def _stub(self, *args, **kwds):
         "Stub method.  Not used for a system random number generator."
         return None
diff -r b295b2286697 Lib/test/test_random.py
--- a/Lib/test/test_random.py	Wed Jul 01 11:29:34 2015 -0400
+++ b/Lib/test/test_random.py	Thu Jul 02 13:32:27 2015 -0400
@@ -262,6 +262,13 @@
             self.assertEqual(set(range(start,stop)),
                 set([self.gen.randrange(start,stop) for i in xrange(100)]))
 
+    def test_randrange_bias(self):
+        # From http://bugs.python.org/issue23974:
+        # Given 1000 random ints, approx. 500 will be odd if there's no bias,
+        # or 333 if this issue is present. 417 is halfway between the two.
+        span = 2**53 * 2//3
+        self.assertGreater(sum(self.gen.randrange(span) & 1 for i in xrange(1000)), 417)
+
     def test_genrandbits(self):
         # Verify ranges
         for k in xrange(1, 1000):