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

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Intern
Joined: 15 Oct 2007
Posts: 15
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A certain roller coaster has 3 cars, and a passenger is [#permalink]  15 Oct 2007, 22:32
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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 the passenger will ride in each of the 3 cars?

A. 0
B. 1/9
C. 2/9
D. 1/3
E. 1

This is somewhat similar to the coin toss problem posted earlier.
Director
Joined: 09 Aug 2006
Posts: 766
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Re: PS [#permalink]  15 Oct 2007, 23:39
mistahfold 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 the passenger will ride in each of the 3 cars?

A. 0
B. 1/9
C. 2/9
D. 1/3
E. 1

This is somewhat similar to the coin toss problem posted earlier.

C.

1st car doesn't matter.
p(2nd car is different from 1st) = 2/3
p(3rd car is different from 1st & 2nd) = 1/3

p = 2/3*1/3 = 2/9
Re: PS   [#permalink] 15 Oct 2007, 23:39
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