diff --git a/tests/random_lax_test.py b/tests/random_lax_test.py
index c1b00439537e..49797b7f7c5b 100644
--- a/tests/random_lax_test.py
+++ b/tests/random_lax_test.py
@@ -1219,7 +1219,7 @@ def testBinomialSample(self, n, p, dtype):
     for samples in [uncompiled_samples, compiled_samples]:
       self._CheckChiSquared(samples.astype(int), pmf, pval=1e-3)
       self.assertAllClose(samples.mean(), n * p, rtol=0.025, check_dtypes=False)
-      self.assertAllClose(samples.var(), n * p * (1 - p) , rtol=0.035,
+      self.assertAllClose(samples.var(), n * p * (1 - p) , rtol=0.036,
                           check_dtypes=False)
 
   def testBinomialCornerCases(self):