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

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Director
Joined: 08 Feb 2007
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Location: New Haven, CT
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A certain roller coaster has 3 cars, and a passenger is [#permalink]

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29 Jul 2007, 12:57
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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
Joined: 08 Feb 2007
Posts: 610
Location: New Haven, CT
Followers: 5

Kudos [?]: 18 [0], given: 0

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30 Jul 2007, 07:23
That's what I thought Himalayan, but this is not the OA.
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Joined: 04 Jun 2007
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30 Jul 2007, 08:10
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.
30 Jul 2007, 08:10
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