Very neat indeed. In the spirit of TIMTOWTDI...

#!/usr/bin/perl -w
use strict;
use warnings;
use Tk;
use LWP::Simple;

#Read the predictions
my @answers = <DATA>; 
chomp @answers;
my $szURL = "http://www.random.org/cgi-bin/randnum?num=1&min=0&max=$#a
+nswers&co+l=1";

#Initialise state
my $szState = 'Starting...';

#Create main window with a canas and bind the mouse event
my $main = new MainWindow;
my $canvas = $main->Canvas( -height=>300, -width=>300);
$canvas->pack( -expand, -fill );
$main->bind('<Button1-ButtonRelease>', \&Display);

#Create the fonts 
my $fontLarge = $canvas->fontCreate(
                    -family=>'arial', 
                    -size=>100, 
                    -weight=>'bold'
                );

my $fontSmall = $canvas->fontCreate(
                    -family=>'arial', 
                    -size=>10, 
                    -weight=>'bold'
                );

#First time in do the display
Display();

MainLoop; 

sub Display
{
    my ($myFont, $szText, $iPrediction);
    
    #Depending on the state do the "right thing" tm.
    if ($szState eq 'Starting...' or $szState eq 'Prediction') {
        $szState = 'Displaying 8';
        $myFont = $fontLarge;
        $szText = '8';
    } else {
        $szState = 'Prediction';
        $myFont = $fontSmall;
        
        $iPrediction = get( $szURL);
        $szText = $iPrediction ? $answers[$iPrediction] : 'Error!';
    }
    
    #Over write anything     
    $canvas->createOval(
        10, 10, 290, 290, 
        -fill=>'black', 
        -outline =>'black'
    );
    
    $canvas->createOval(
        70, 70, 230, 230, 
        -fill=>'white', 
        -outline =>'white'
    );

    #Put up the message
    $canvas->createText(
        150, 150, 
        -justify=>'center', 
        -text=>$szText, 
        -font=>$myFont, 
        -width=>80
    );
}

    
 __DATA__   
Outlook Good 
Outlook Not So Good 
My Reply Is No 
Don't Count On It 
You May Rely On It 
Ask Again Later 
Most Likely 
Cannot Predict Now 
Yes 
Yes, Definitely 
Better Not Tell You Now 
It Is Certain 
Very Doubtful 
It Is Decidedly So 
Concentrate and Ask Again 
Signs Point to Yes 
My Sources Say No 
Without a Doubt 
Reply Hazy, Try Again 
As I See It, Yes
[download]

Cheers,
Dom.