The original sentence has three clauses connected with and that's been reduced by Conjunction Reduction. The boldfaced parts below are what Conjunction Reduction deletes:
- People can play for fun, and
- people can play to win, and
- people can play to make money.
In the first clause, for fun is a preposition phrase used as a purpose adverb -- fun is the reason for some people to play. The second clause mentions another purpose -- in order to win, a purpose infinitive, parallel to the first purpose phrase. The third clause completes the trifecta with another purpose infinitive, in order to make money.
So that's three reasons people can play. The author apparently considers this a lot, since they capitalized AND, and that usually implies it would be stressed (i.e, loud) when spoken. Which marks it as advertising, since it's praising gambling loudly, and nobody does that without being paid.