In a game called Taxation and Evasion, a player rolls a pair of dice. If on any turn, the sum is 7, 11, or 12, the player gets audited. Otherwise, she avoids taxes. Suppose a player takes 5 turns at rolling the dice. The probability that she does not get audited is?
In a question like this can I use n = 11 as in the number of possible sums (2, 3, 4, 5, ...., 12) instead of n = 36 as in the number of possible combinations of the two dices (6×6) and why?