Android :: Running Multiple AsyncTasks At The Same Time - Not Possible?

I'm trying to run two AsyncTasks at the same time. (Platform is Android 1.5, HTC Hero.) However, only the first gets executed.

Here's a simple snippet to describe my problem:

CODE:................

The output I expect is:

onCreate() is done.
bar bar bar
foo foo foo
bar bar bar
foo foo foo

And so on. However, what I get is:

onCreate() is done.
bar bar bar
bar bar bar
bar bar bar

The second AsyncTask never gets executed. If I change the order of the execute() statements, only the foo task will produce output.

Am I missing something obvious here and/or doing something stupid? Is it not possible to run two AsyncTasks at the same time?

I realized the phone in question runs Android 1.5, I updated the problem descr. accordingly. I don't have this problem with an HTC Hero running Android 2.1.