Add a short delay before showing the first run bubble.

chrome/browser/first_run/first_run.h

Index: chrome/browser/first_run/first_run.h
diff --git a/chrome/browser/first_run/first_run.h b/chrome/browser/first_run/first_run.h
index 2bebc4620e642b7c4a61ccb416ce96abd4d5c986..8a4037551429b9464b76614e5aefed4362652fff 100644
--- a/chrome/browser/first_run/first_run.h
+++ b/chrome/browser/first_run/first_run.h
@@ -12,10 +12,13 @@
 #include "base/compiler_specific.h"
 #include "base/gtest_prod_util.h"
 #include "base/memory/ref_counted.h"
+#include "base/memory/weak_ptr.h"
+#include "chrome/browser/ui/browser_list_observer.h"
 #include "content/public/browser/notification_observer.h"
 #include "content/public/browser/notification_registrar.h"
 #include "ui/gfx/native_widget_types.h"
 
+class Browser;
 class CommandLine;
 class GURL;
 class PrefRegistrySyncable;
@@ -184,7 +187,10 @@ ProcessMasterPreferencesResult ProcessMasterPreferences(
 
 // Show the first run search engine bubble at the first appropriate opportunity.
 // This bubble may be delayed by other UI, like global errors and sync promos.
-class FirstRunBubbleLauncher : public content::NotificationObserver {
+class FirstRunBubbleLauncher
+    : public content::NotificationObserver,
+      public chrome::BrowserListObserver,
+      public base::SupportsWeakPtr<FirstRunBubbleLauncher> {
  public:
   // Show the bubble at the first appropriate opportunity. This function
   // instantiates a FirstRunBubbleLauncher, which manages its own lifetime.
@@ -199,7 +205,13 @@ class FirstRunBubbleLauncher : public content::NotificationObserver {
                        const content::NotificationSource& source,
                        const content::NotificationDetails& details) OVERRIDE;
 
+  // chrome::BrowserListObserver override:
+  virtual void OnBrowserRemoved(Browser* browser) OVERRIDE;
+
+  void DoShowFirstRunBubble();
+
   content::NotificationRegistrar registrar_;
+  Browser* browser_;
 
   DISALLOW_COPY_AND_ASSIGN(FirstRunBubbleLauncher);
 };