No, you're right, I definitely don't have a clue on how to watch football.
It's all well showing me the match statistics as the end of the match, if you're going to ignore facts like Greece having 40% possession and hardly creating anything in the 35th minute, a trend that continued at least till the sending off occurred.
Of course, since you seem to like statistics so much, let's go a little deeper with the analysis.
This shows the passes received by Giorgos Karagounis, your offensive midfielder: http://www.fourfourtwo.com/statszone/4-2013/matches/731818/player-stats/6994/1_PASS_07#tabs-wrapper-anchor
Note that the left side is in defense. You might not agree, but I'd say if your offensive midfielder who generally tends to be the main creative outlay, recieves the majority of his passes in the defensive half,
then you're probably not playing very attacking football.
Let's look at Georgios Samaras, who played as your lone striker till the 58th minute; subbed off shortly before Costa Rica received the red card: http://www.fourfourtwo.com/statszone/4-2013/matches/731818/player-stats/10866/1_PASS_07#tabs-wrapper-anchor
Now this shows us that a little less than half of the passes he received has been long balls from his own defensive half, again, that's probably a sign that you're playing relatively deep.
Now I must admit I only kept one eye on the game due to my focus being required elsewhere too, but what I saw from Greece certainly wasn't impressive. With all that having been said, it did improve after the sending off, but the fact that Greece still couldn't create many noteworthy chances with over 54 minutes being played after the sending off speaks for itself.
On a completely different note, what's with the hate against Samaras? He seems like a really nice guy outside of football.