Answer:
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:
[tex]P=\frac{6}{27}= 0.2222[/tex]
