Methods and apparatus for a distributed bonus scheme using simulated scatter reactions are disclosed. An example method of operating a gaming device in a gaming system includes receiving a trigger that initiates a first bonus decision in a first gaming device. Further, the example method includes calculating, using a programmed processor, an accumulated value that defines a range. Further, the example method includes generating a random number. Further, the example method includes, when the random number falls within the range, granting a bonus to the first gaming device. Further, the example method includes determining whether the first bonus decision is to initiate a second bonus decision in a second gaming device of the gaming system.