There are some games widely played in the routine world of gambles, roulette, quiz show and the sports excercises. The object of the game is to get the highest score among all of the players in the game, from one or two chances of sampling. The two-player sequential-move, imperfect-information games with the three kids of score functions are investigated, and the optimal strategies for the two players and the winning probabilities they can get in the optimal play are derived.