An image display game apparatus has a display screen which displays randomly selected five cards with their faces up. Based on the player's evaluation of the cards, the player selectively presses a first group of push buttons to select unwanted cards and indicate replacement of the cards. When the player presses a push button in a second group, the selected unwanted cards are replaced with new cards. If the new combination of the cards achieves a prize-winning hand, then the player wins and is awarded a credit based on odds for the prize-winning hand. The player then pushes another push button in the second group to receive medals corresponding to the credit. The image display game apparatus has an odds display device which displays a present prize-winning hand and odds thereof, a possible prize-winning hand and odds thereof, and other prize-winning hands and odds thereof in respective display modes, e.g., color shades, different from each other.