One embodiment of a plurality of dice with markings such that when the primary die is rolled a user either lands on a randomized result within the predetermined probability distribution or is directed to roll a secondary die which either provides a result or directs the user to roll a tertiary die. In the embodiments discussed here the final result is achieved on the first roll over 90% of the time. The embodiments described and shown are capable of representing complex distributions that include highly improbable outcomes, providing users with the convenient alternative of simply reading the result rather than performing comparative and mathematical operations on the results of multiple dice rolls.

A baseball board game is provided. The baseball board game includes: a baseball field board; a plurality of pieces for baserunners; a defensive dice to be provided to a defensive-side player, each of faces thereof represents each piece of information on a plurality of 1-st events and 2-nd events; a 1-st offensive dice to be provided to an offensive-side player when a result of the defensive dice is determined as one of the 2-nd events except a walk and a strikeout, each of faces thereof represents each piece of information on a plurality of 3-rd events and 4-th events; and a 2-nd offensive dice to be provided to the offensive-side player when a result of the 1-st offensive dice is determined as one of the 4-th events, each of faces thereof represents each piece of information on a plurality of 5-th events and 6-th events.