Information processing system with increased user draw mode strategies, and associated information processing apparatus, storage medium and information processing method

An example of an information processing system is configured to, in a draw mode, display two or more selection candidates. In the draw mode, when a selection instruction to select at least one of unselected selection candidates is given, a game character that corresponds to the selected selection candidate is granted to the user. When the number of unselected selection candidates is equal to a first number, the process decreases an amount by which the predetermined parameter is decreased as compared with a case where the number of unselected selection candidates is equal to a second number greater than the first number. When a cumulative grant count becomes equal to or greater than a reference count, the information processing system permits execution of a designated mode in which a game character designated by the user is granted to the user.