1. A method comprising: providing, by at least one processor electronically coupled to at least one memory, first information about a set of possible outcomes of an event to a player, wherein at least a part of the first information identifies a characteristic of a true outcome of the set of possible outcomes; receiving, by the at least one processor, a first wager on a first possible outcome of the set of possible outcomes from the player after providing the first information; revealing, by the at least one processor, to the player, after receiving the first wager, that a first subset of possible outcomes of the set of possible outcomes does not comprise the true outcome, wherein a second subset of possible outcomes of the set of possible outcomes comprises the true outcome, and wherein the set of possible outcomes consists of the first and second subsets of possible outcomes; and providing, by the at least one processor, the player with an opportunity to change from the first wager to a second wager on a second possible outcome of the set of possible outcomes only if the second subset of possible outcomes comprises the first possible outcome, the second subset of possible outcomes comprising the second possible outcome.