diff --git a/test/test.h b/test/test.h
index ecd4a867..d438dfc9 100644
--- a/test/test.h
+++ b/test/test.h
@@ -298,7 +298,10 @@ class testcase_nested : public testcase {
   bool trim_tail(unsigned window_width);
   bool grow_head(unsigned head_count);
   bool pop_txn(bool abort);
-  bool pop_txn() { return pop_txn(flipcoin_x2()); }
+  bool pop_txn() {
+    return pop_txn(inherited::is_nested_txn_available() ? flipcoin_x3()
+                                                        : flipcoin_x2());
+  }
   void push_txn();
   bool stochastic_breakable_restart_with_nested(bool force_restart = false);
 
diff --git a/test/utils.cc b/test/utils.cc
index c807d0e5..311cf544 100644
--- a/test/utils.cc
+++ b/test/utils.cc
@@ -332,6 +332,8 @@ double double_from_upper(uint64_t salt) {
 
 bool flipcoin() { return bleach32((uint32_t)entropy_ticks()) & 1; }
 bool flipcoin_x2() { return (bleach32((uint32_t)entropy_ticks()) & 3) == 0; }
+bool flipcoin_x3() { return (bleach32((uint32_t)entropy_ticks()) & 7) == 0; }
+bool flipcoin_x4() { return (bleach32((uint32_t)entropy_ticks()) & 15) == 0; }
 
 bool jitter(unsigned probability_percent) {
   const uint32_t top = UINT32_MAX - UINT32_MAX % 100;
diff --git a/test/utils.h b/test/utils.h
index 35a54d30..2a5a54de 100644
--- a/test/utils.h
+++ b/test/utils.h
@@ -356,5 +356,7 @@ void prng_fill(void *ptr, size_t bytes);
 
 bool flipcoin();
 bool flipcoin_x2();
+bool flipcoin_x3();
+bool flipcoin_x4();
 bool jitter(unsigned probability_percent);
 void jitter_delay(bool extra = false);