Gaming machine having electronic circuit for generating game results with non-uniform probabilities

A gaming device, comprising:

• a periodic signal generator having an analog input and a periodic output signal, the frequency of which varies in accordance with the analog input signal;
• a counter responsive to the periodic output signal, the counter incrementing its output in accordance with the frequency of the periodic output signal;
• means for periodically selecting the counter's output at an arbitrary point in time as a game result, wherein the frequency of the periodic output signal is sufficiently high that a player cannot readily predict the value of the selected counter output;
• display means for displaying the game result represented by the periodically selected counter output;
• addressable memory having a plurality of addressable locations, each containing a preprogrammed binary value, and having an address input coupled to the counter's output;
• and
• means for generating an analog signal in accordance with a binary value contained in the memory at the location having an address corresponding to the counter's output, wherein the analog signal is coupled to the analog input of the periodic signal generator.

A gaming device, comprising:

• an oscillator which includes an analog input, an output and a capacitor, wherein the output is a timing signal, the frequency of which varies in accordance with values of the analog input and the capacitor;
• a counter responsive to the timing signal, the counter incrementing its output in accordance with the frequency of the timing signal;
• player-actuated means for periodically selecting the counter's output at an arbitrary time as a game outcome, wherein the player-actuated means is asynchronous with the oscillator so that a player cannot readily predict the value of the selected counter output at the arbitrary time;
• binary memory means for associating possible values of the counter output with preselected values, and for generating as digital output the preselected value associated with the value of the counter output;
• a digital-to-analog converter having a digital input coupled to the digital output of the memory, and an analog output coupled to the input of the oscillator;
• and
• means for displaying the game outcome represented by the periodically selected counter output.