An electronic gaming machine includes a processor configured to control a display device to display a matrix of award symbol display positions, in which at least some of the award symbol display positions include an award symbol. The processor is also configured to control the display device to display at least one selection indicium within the matrix, determine a starting award symbol display position and an ending award symbol display position within the matrix, randomly determine a path between the starting award symbol display position and the ending award symbol display position, control the display device to display the at least one selection indicium traversing the randomly determined path between the starting award symbol display position and the ending award symbol display position, and in response to the at least one selection indicium stopping on the ending award symbol display position, provide an award associated with the ending award symbol display position to a player.