 Because the outcome of two-boxing is better by \(\$T\) than the outcome of one-boxing given each prediction, two-boxing dominates one-boxing. Two-boxing is the rational choice according to the principle of dominance. Because the prediction is reliable, a prediction of one-boxing has a high probability given one-boxing. Similarly, a prediction of two-boxing has a high probability given two-boxing. Hence, using conditional probabilities to compute expected utilities, one-boxing’s expected utility exceeds two-boxing’s expected utility. One-boxing is the rational choice according to the principle of expected-utility maximization.