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

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Joined: 08 Nov 2008
Posts: 38
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Kudos [?]: 5 [0], given: 0

A certain roller coaster has 3 cars, and a passenger is [#permalink]  11 Dec 2008, 13:01
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
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Joined: 29 Aug 2007
Posts: 2497
Followers: 57

Kudos [?]: 556 [0], given: 19

Re: cars [#permalink]  11 Dec 2008, 13:34
gorden wrote:
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

first car = it could be any one of the three
second car = it could be any one of the remaining two
third car = it is the remaining one.

p(first) = 1
p(second) = 2/3
p(third) = 1/3

so p(each of 3 cars) = 1 x 2/3 x 1/3 = 2/9
_________________
Re: cars   [#permalink] 11 Dec 2008, 13:34
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# A certain roller coaster has 3 cars, and a passenger is

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