In a game called taxation and evasion, a player observes a number given by a computer. The number is uniformly distributed from 0-12. If at any turn, the observed number is between 9 and 12, the player gets audited. Otherwise, she avoids taxes. Suppose player takes 5 turns at observing random number.
a) the probability that she gets audited at least once
b) probability that she does not get audited
c) probability she gets audited once
d) probability she gets audited no more than 2 times