diff --git a/fe/fe-core/src/main/java/org/apache/doris/nereids/stats/FilterEstimation.java b/fe/fe-core/src/main/java/org/apache/doris/nereids/stats/FilterEstimation.java
index a65a07fea30bdfc..a03c8d1ce7e9e9b 100644
--- a/fe/fe-core/src/main/java/org/apache/doris/nereids/stats/FilterEstimation.java
+++ b/fe/fe-core/src/main/java/org/apache/doris/nereids/stats/FilterEstimation.java
@@ -332,7 +332,8 @@ private Statistics estimateEqualTo(ComparisonPredicate cp, ColumnStatistic stats
             } else {
                 double val = statsForRight.maxValue;
                 if (val > statsForLeft.maxValue || val < statsForLeft.minValue) {
-                    selectivity = 0.0;
+                    // do a lower bound protection to avoid using 0 directly
+                    selectivity = RANGE_SELECTIVITY_THRESHOLD;
                 } else if (ndv >= 1.0) {
                     selectivity = StatsMathUtil.minNonNaN(1.0, 1.0 / ndv);
                 } else {