 The next axiom is also necessary for it to be possible to determine a comparative belief relation from an agent’s preferences. Above it was suggested that by asking you to stake a prize on whether a coin comes up heads or tails, it can be determined which of these events, heads or tails, you find more likely. But that suggestion is only plausible if the size of the prize does not affect your judgement of the relative likelihood of these two events. That assumption is captured by the next axioms. Since the axiom is rather complicated it will be stated in tabular form: