Rand and Rubio are playing a game in which they each take turns to pick a digit between 1 and 9, without replacement (i.e. all digits chosen are distinct). If one of them manages to get three digits which sum to 15, then he wins. If neither player achieves this, they both lose.
Rand goes first. Does he have a winning strategy? If so, what is it? If not, prove it.
Source: Peter Winkler's Mathematical Puzzles: A Connoisseur's Collection.