I heard this story on Radio 5 Live's 'Fighting Talk' program. (well worth a listen for the uninitiated of you).
An Australian cricket player, Luke Pomersbach, had been suspended by his state team (like our county teams) for having a late-night drinking session when he really should've been in bed! Given the nighr off, he thought he'd pass his time by going to watch the Aussie national team in a Twenty20 match against New Zealand.
Imagine his suprise when batsman Brad Hodge injured his back whilst putting his kit on, and the Aussie captain turned to him as a replacement! He actually did quite well too, hitting 15 runs from 7 balls.
I think that may well be the definitive example of being in the right place at the right time!