A favorite casino game of dice "craps" is played in the following manner: A player starts by rolling a pair of balanced dice. If the roll (the sum of two numbers showing on the dice) results in a 7 or 11, the player wins. If the roll results in a 2 or 3 (called "craps") the player loses. For any other roll outcome, the player continues to throw the dice until the original roll outcome recurs (in which case the player wins) or until a 7 occurs (in which case the player loses).

When answering the following questions, you can use this outcome chart for the roll of two dice:

Provide the probability answers in fraction and in decimal forms rounded to 4 digits.