diff --git a/src/distributions/weighted_index.rs b/src/distributions/weighted_index.rs
index 5a3ecaa2099..b73bc43af02 100644
--- a/src/distributions/weighted_index.rs
+++ b/src/distributions/weighted_index.rs
@@ -174,7 +174,7 @@ impl<X: SampleUniform + PartialOrd> WeightedIndex<X> {
             total_weight += w;
             prev_i = Some(i);
         }
-        if total_weight == zero {
+        if total_weight <= zero {
             return Err(WeightedError::AllWeightsZero);
         }