Q:

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 that the passenger will ride in each of the 3 cars?

Accepted Solution

A:
Answer:2/9Step-by-step explanation:certain roller coaster has 3 carspassenger is equally likely to ride in any 1 of the 3 cars each time that passenger rides the roller coaster.First time a passenger can ride any car p=3/3= 1Second time the passenger should ride another car p=2/3; Third time the passenger should ride not the 2 cars he had already driven: p=1/3. so the probability that the passenger will ride in each of the 3 cars P= 1*2/3*1/3= 2/9