[Rushmore]

It is coincidental, but not ironic. In fact, the scenario is virtually the opposite of irony.

Had he said, "Well, I won the last tournament with two sevens, but let's face it--a hand is a hand is a hand...," and THEN won with two sevens, well, THAT would have been ironic.

So, to recap: People confuse coincidence with irony. The opening sequence of Magnolia (Thorn, Berry, and Hill), for instance, is coincidence, not irony. The scene where Bill Macy's character falls and smashes all of his teeth out of his head in an effort to steal money for cosmetic dental surgery which he does not need...well, that's irony.