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

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Manager
Joined: 25 Aug 2004
Posts: 170

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Location: MONTREAL
A certain roller coaster has 3 cars, and a passenger is [#permalink]

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27 Sep 2005, 07:41
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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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Senior Manager
Joined: 29 Nov 2004
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Location: Chicago

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27 Sep 2005, 07:44
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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Fear Mediocrity, Respect Ignorance

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Manager
Joined: 18 Aug 2005
Posts: 84

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Location: Italy, Rome caput mundi

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27 Sep 2005, 07:46
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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27 Sep 2005, 07:46
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# A certain roller coaster has 3 cars, and a passenger is

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