TASK DEFINITION: You will be given a trivia clue, and the category it belongs to. You should answer with the best answer that belongs in the category and is described by the clue. For simplicity, answers should be in all lower cased letters.
PROBLEM: Category: ARE YOU A BETTING MAN? 
Clue: C'mon, one more cherry!  Bally's Las Vegas became the first hotel with a $1,000 one of these

SOLUTION: a slot machine

PROBLEM: Category: NEW HAMPSHIRITES 
Clue: At Binion's Casino in Las Vegas, you can see 100 $10,000 bills with this New Hampshirite on them

SOLUTION: salmon p. chase

PROBLEM: Category: SEAS THE MOMENT 
Clue: Sydney, Australia is on an inlet of this sea

SOLUTION:
the tasman sea