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

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Manager
Joined: 15 Oct 2008
Posts: 54
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A certain roller coaster has 3 cars, and a passenger is [#permalink]  29 Oct 2008, 22:43
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

Please show how to calculate this problem.
SVP
Joined: 17 Jun 2008
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Re: Prob Q [#permalink]  29 Oct 2008, 23:14
2/9.

Total outcome = 3*3*3 as the person can ride any of the three cars.
Favorable outcome = 3*2*1 (as the first time, the person can ride any of the three cars, second time, only the remaining two cars and third time only remaining one car).

Hence, probability = 3*2*1/3*3*3 = 2/9.
Manager
Joined: 15 Oct 2008
Posts: 54
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Kudos [?]: 2 [0], given: 0

Re: Prob Q [#permalink]  29 Oct 2008, 23:23
OA is C

thanks a lot scthakur.
Re: Prob Q   [#permalink] 29 Oct 2008, 23:23
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