We investigate the validity of a double random incentive system where only a subset of subjects is paid for one of their choices. By focusing on individual decision-making under risk and ambiguity, we show that using either a standard random incentive system, where all subjects are paid, or a double random system, where only 10% of subjects are paid, yields similar preference elicitation results. These findings suggest that adopting a double random incentive system could significantly reduce experimental costs and logistic efforts, thereby facilitating the exploration of individual decision-making in larger-scale and higher-stakes experiments.