A certain roller coaster has 3 cars, and a passenger is equally likely to ride in any 1 of the 3 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 3 times, what is the probability the passenger will ride in each of the 3 cars?
This is somewhat similar to the coin toss problem posted earlier.
1st car doesn't matter.
p(2nd car is different from 1st) = 2/3
p(3rd car is different from 1st & 2nd) = 1/3
p = 2/3*1/3 = 2/9