Acertain roller coaster has 3 cars, and a passenger is equally likely to ride in any 1 of the3 cars each time that passenger rides the roller coaster. if a certain passenger is to ridethe roller coaster 3 times, what is the probability that the passenger will ride in each ofthe 3 cars?

The probability is 0.2222

Explanation:

By the rule of multiplication, we know that there are 27 ways to ride the roller coaster 3 times. This is calculated as:

      3             *            3              *             3                =  27

   1st ride               2nd ride                 3rd ride

Because there are 3 cars for the first ride, 3 cars for the second ride and 3 cars for the third ride.

On the other hand, there are 6 ways to ride the roller coaster 3 times and ride in each of the 3 cars. This is calculated as:

      3             *            2              *             1                =  6

   1st ride               2nd ride                 3rd ride

Because, on the first ride, the passenger can choose any of the 3 cars, then for the second ride he can choose any of the 2 cars that he doesn't choose on the first ride and for the third ride he can choose 1 car.

Finally, the probability is calculated as a division of:

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