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

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Manager
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Joined: 25 Aug 2004
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A certain roller coaster has 3 cars, and a passenger is [#permalink] New post 27 Sep 2005, 06:41
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
Senior Manager
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 [#permalink] New post 27 Sep 2005, 06:44
2/9

Any car first time
two of the three second time
one of the three third time

1*2/3*1/3 = 2/9
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Manager
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 [#permalink] New post 27 Sep 2005, 06:46
I would say 2/9.

Prob of drive a different car the first time(obviously) is 1
Prof of drive a different car the second time is 2/3
Prob of drive a different car the thid time is 1/3

1* (2/3) * (1/3)= 2/9


Right?

Ps..Ranga I didn't mean to copy it..I just sent it later=)
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  [#permalink] 27 Sep 2005, 06:46
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