Gaming system, gaming device, and method changing awards available to be won in pending plays of a game based on a quantity of concurrently pending plays of the game

A method of operating a gaming system, said method comprising:

• (a) enabling a player to sequentially initiate a plurality of random events, each of the random events including one or more awards available to be won in said random event;
• (b) causing at least one processor to execute a plurality of instructions stored in at least one memory device to monitor a quantity of any initiated random events that are concurrently pending;
• and
• (c) if the monitored quantity of concurrently pending random events reaches a designated quantity, providing a designated award regardless of outcomes of said concurrently pending random events.

A non-transitory computer readable medium storing a plurality of instructions which, when executed by at least one processor, cause the at least one processor to:

• (a) enable a player to sequentially initiate a plurality of random events, each of the random events including one or more awards available to be won in said random event;
• (b) monitor a quantity of any initiated random events that are concurrently pending;
• and
• (c) if the monitored quantity of concurrently pending random events reaches a designated quantity, provide a designatedaward regardless of outcomes of said concurrently pending random events.