1. A method of conducting a computer-implemented wagering game, the method comprising: using a processor to execute a plurality of plays of the wagering game, each play having an expected value; displaying on a display a plurality of randomly selected symbols associated with each play; and using the processor to randomly assign a plurality of attributes across the plurality of plays, each attribute increasing the expected value of the play of the wagering game to which the attribute is assigned, the expected value increasing from a first value to a second value, the first value of the expected value being in the absence of the attribute and the second value of the expected value being in the presence of the attribute.