diff --git a/graphx/src/main/scala/org/apache/spark/graphx/GraphOps.scala b/graphx/src/main/scala/org/apache/spark/graphx/GraphOps.scala
index fcb1b5999fae783f48fe1eeef99e9f2b32506821..a783fe305f904bcfd0cf579e2e2dc508b81abdd1 100644
--- a/graphx/src/main/scala/org/apache/spark/graphx/GraphOps.scala
+++ b/graphx/src/main/scala/org/apache/spark/graphx/GraphOps.scala
@@ -276,7 +276,7 @@ class GraphOps[VD: ClassTag, ED: ClassTag](graph: Graph[VD, ED]) extends Seriali
         if (Random.nextDouble() < probability) { Some(vidVvals._1) }
         else { None }
       }
-      if (selectedVertices.count > 1) {
+      if (selectedVertices.count > 0) {
         found = true
         val collectedVertices = selectedVertices.collect()
         retVal = collectedVertices(Random.nextInt(collectedVertices.length))
diff --git a/graphx/src/test/scala/org/apache/spark/graphx/GraphSuite.scala b/graphx/src/test/scala/org/apache/spark/graphx/GraphSuite.scala
index cb981797d3239bb7c583e653732a6137a7029326..96aa262a395c8f83a28dd0c6c3b24d19278b273a 100644
--- a/graphx/src/test/scala/org/apache/spark/graphx/GraphSuite.scala
+++ b/graphx/src/test/scala/org/apache/spark/graphx/GraphSuite.scala
@@ -404,4 +404,13 @@ class GraphSuite extends SparkFunSuite with LocalSparkContext {
       assert(sc.getPersistentRDDs.isEmpty)
     }
   }
+
+  test("SPARK-14219: pickRandomVertex") {
+    withSpark { sc =>
+      val vert = sc.parallelize(List((1L, "a")), 1)
+      val edges = sc.parallelize(List(Edge[Long](1L, 1L)), 1)
+      val g0 = Graph(vert, edges)
+      assert(g0.pickRandomVertex() === 1L)
+    }
+  }
 }