diff --git a/distr_test/tests/weighted.rs b/distr_test/tests/weighted.rs
index cb89287556..0d24c88909 100644
--- a/distr_test/tests/weighted.rs
+++ b/distr_test/tests/weighted.rs
@@ -145,20 +145,25 @@ fn choose_two_weighted_indexed() {
 
         let pmf1 = (0..num).map(|i| weight(i as i64)).collect::<Vec<f64>>();
         let sum: f64 = pmf1.iter().sum();
-        let sum_sq: f64 = pmf1.iter().map(|x| x * x).sum();
-        let frac = 2.0 / (sum * sum - sum_sq);
+        let frac = 1.0 / sum;
 
         let mut ac = 0.0;
         let mut cdf = Vec::with_capacity(num * num);
         for a in 0..num {
             for b in 0..num {
                 if a < b {
-                    ac += pmf1[a] * pmf1[b];
+                    let pa = pmf1[a] * frac;
+                    let pab = pa * pmf1[b] / (sum - pmf1[a]);
+
+                    let pb = pmf1[b] * frac;
+                    let pba = pb * pmf1[a] / (sum - pmf1[b]);
+
+                    ac += pab + pba;
                 }
-                cdf.push(ac * frac);
+                cdf.push(ac);
             }
         }
-        assert!((ac * frac - 1.0).abs() < 1e-9);
+        assert!((cdf.last().unwrap() - 1.0).abs() < 1e-9);
 
         let cdf = |i| {
             if i < 0 {
@@ -173,9 +178,9 @@ fn choose_two_weighted_indexed() {
 
     test_weights(100, |_| 1.0);
     test_weights(100, |i| ((i + 1) as f64).ln());
-    // test_weights(100, |i| i as f64);
-    // test_weights(100, |i| (i as f64).powi(3));
-    // test_weights(100, |i| 1.0 / ((i + 1) as f64));
+    test_weights(100, |i| i as f64);
+    test_weights(100, |i| (i as f64).powi(3));
+    test_weights(100, |i| 1.0 / ((i + 1) as f64));
 }
 
 #[test]