N.Y. Comp. Codes R. & Regs. tit. 9, § 4410.4
(f) The design of the pick three tickets shall be clearly and immediately distinguishable from other pari-mutuel tickets.
(2) Should any horse be scratched or declared a nonstarter in any race of the designated pick three races, the race in which the late scratch has occurred will be declared “no race” for purposes of the pick three pool only, and the net pools shall be distributed equally to the holders of tickets who have designated the winners of the remaining pick three races.
(h) Failure to select winning combination.
(4) If any of the designated races are cancelled or declared “no race,” the pick three will be determined by the winners of the remaining race or races.
(i) Dead heats.
In the event of a dead heat for win in any or all pick three races, all pick three tickets designating either horse to win in said race or races shall be eligible for participation in the remaining pick three races, and the net pool shall be equally distributed to the winners, that is, the net pool will be divided by the total amount represented by all winning tickets and the resulting price, per dollar, and after breakage, shall be the payoff price, which shall be uniform for any winning combination.
(g) Scratch.