diff --git a/gtsam/discrete/DecisionTreeFactor.cpp b/gtsam/discrete/DecisionTreeFactor.cpp
index 4aa5e5759..19cc8e230 100644
--- a/gtsam/discrete/DecisionTreeFactor.cpp
+++ b/gtsam/discrete/DecisionTreeFactor.cpp
@@ -197,9 +197,39 @@ namespace gtsam {
   /* ************************************************************************ */
   std::vector<double> DecisionTreeFactor::probabilities() const {
     std::vector<double> probs;
-    for (auto&& [key, value] : enumerate()) {
-      probs.push_back(value);
+
+    // Get all the key cardinalities
+    std::map<Key, size_t> cardins;
+    for (auto [key, cardinality] : discreteKeys()) {
+      cardins[key] = cardinality;
     }
+    // Set of all keys
+    std::set<Key> allKeys(keys().begin(), keys().end());
+
+    // Go through the tree
+    std::vector<double> ys;
+    this->apply([&](const Assignment<Key> a, double p) {
+      // Get all the keys in the current assignment
+      std::set<Key> assignment_keys;
+      for (auto&& [k, _] : a) {
+        assignment_keys.insert(k);
+      }
+
+      // Find the keys missing in the assignment
+      std::vector<Key> diff;
+      std::set_difference(allKeys.begin(), allKeys.end(),
+                          assignment_keys.begin(), assignment_keys.end(),
+                          std::back_inserter(diff));
+
+      // Compute the total number of assignments in the (pruned) subtree
+      size_t nrAssignments = 1;
+      for (auto&& k : diff) {
+        nrAssignments *= cardins.at(k);
+      }
+      probs.insert(probs.end(), nrAssignments, p);
+      return p;
+    });
+
     return probs;
   }
 
@@ -313,11 +343,7 @@ namespace gtsam {
     const size_t N = maxNrAssignments;
 
     // Get the probabilities in the decision tree so we can threshold.
-    std::vector<double> probabilities;
-    // NOTE(Varun) this is potentially slow due to the cartesian product
-    for (auto&& [assignment, prob] : this->enumerate()) {
-      probabilities.push_back(prob);
-    }
+    std::vector<double> probabilities = this->probabilities();
 
     // The number of probabilities can be lower than max_leaves
     if (probabilities.size() <= N) {