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A certain roller coaster has 3 cars, and a passenger is

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New post 29 Jul 2007, 11:57
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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?

a) 0
b) 1/9
c) 2/9
d) 1/3
e) 1
Director
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New post 30 Jul 2007, 06:23
That's what I thought Himalayan, but this is not the OA.
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New post 30 Jul 2007, 07:10
Lets say the cars are A,B,C.
Then the possibilities are:
ABC
ACB
BAC
BCA
CAB
CBA

Total no. of possibilities = 3^3 = 27

Therefore, required probability = 6/27 = 2/9.

Should be C.
  [#permalink] 30 Jul 2007, 07:10
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A certain roller coaster has 3 cars, and a passenger is

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