Thus it is very important to offer opportunities where receivers can feel and obtain chances in various situations. Many applications on chance discover have been proposed in these 10 years [4,23]. For instance, visualization systems for making users aware of unconscious preferences [10,17], an analogy game which varies a construction of concepts according to perceptions, categorizations, and areas of focus derived from the expertise of the observer [21], a deposit overflow determination system to prevent various financial crises [28], ISOR-2, a combination of case-based reasoning and statistical modeling system which can deal with medical exceptions [27], and a web-based interactive interface which can check hidden or rare but very important relationships in medical diagnostic data sets [5] have been proposed in [4]. Those applications are real world applications where a discovery of chances plays an important role. However, strategies how to display chances have not been explicitly discussed in many applications