“…4. Probabilities matter: Although distributions with the same outcomes but different probabilities of these (for example, distributions 1 and 6 in Table 1) have the same theoretically optimal rule, 21 To make sure that subjects could not lose money, we divided the distributions into three groups, according to the largest possible negative value (distributions 1, 2, 6, 7, 12, 20, 21 in group 1; distributions 3, 8, 9, 13, 14, 18, 19 in group 2; distributions 4, 5, 10, 11, 15, 16, 17 in group 3), and then randomly selected one distribution from each group. With this procedure, the probability that a given distribution is selected for the second part is the same as with unrestricted selection of triples of distributions.…”