The present invention discloses a computerized gaming system configured to support operating at least one secondary game in conjunction with a primary game and a method of operating thereof. The method of operating comprises activating a primary game based on simulating rotation of reels; activating a secondary game based on simulating rotation of reels; in response to a predefined player's input, providing a simulation of rotation of reels in the primary game thus giving rise to a primary spin; upon completion of the primary spin, automatically initiating and providing a simulation of rotation of reels in the secondary game thus giving rise to a secondary spin; generating one or more results for the primary game in accordance with the primary spin; generating one or more results for the secondary game in accordance with the secondary spin; and displaying the respective results. The results generated in accordance with the secondary spin are independent from the results generated in accordance with the primary spin.