The ''gambler's fallacy'' is the belief that the probability of an eve
nt is decreased when the event has occurred recently, even though the
probability is objectively known to be independent across trials. Clot
felter and Cook (1991, 1993) find evidence of the gambler's fallacy in
analysis of data from the Maryland lottery's ''Pick 3'' numbers game.
In the Maryland lottery, the payout to all numbers is equal at $250 o
n a winning fifty-cent bet so the gambler's fallacy betting strategy c
osts bettors nothing. This article looks at the importance of the gamb
ler's fallacy in the New Jersey lottery's three-digit numbers game, a
pari-mutuel game where a lower amount of total wagering on a number in
creases the payout to that number. Results indicate that the gambler's
fallacy exists among bettors in New Jersey, although to a lesser exte
nt than among those in Maryland.