A method for conducting a computer-implemented wagering game includes using a processor to execute a plurality of plays of the wagering game, each play having an expected value. A plurality of randomly selected symbols, which are associated with each play, are displayed on a display. The processor is used to randomly assign a plurality of attributes across the plurality of plays. Each attribute increases an expected value of the play to which the attribute is assigned, from a first value to a second value. The first value is in the absence of the attribute and the second value is in the presence of the attribute.