Problem Four: A Thrilling Game of Swaff
Nov 1st, 2006 by Allen
In a game of Swaff, players have 1 turn to roll 2 dice, to achieve a total number that is a multiple of 3. If the combined number is NOT a multiple of three, the player is out. If it is, he/she goes on to the next round. If no players get a multiple of 3, in any round, the game is over in a tie.
Example: John rolls a 2 and a 4. Total score is 6 - a multiple of 3. John would then move on to the next round.
Lets say that John, Sally, Suzan, and Jimmy were playing a game of Swaff. What is the probability that the game ends the first round as a tie?