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A certain roller coaster has 3 cars

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by ska7945 » Thu Sep 11, 2008 5:13 am
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?
F. 0
G. 1/9
H. 2/9
I. 1/3
J. 1
let's beat GMAT.
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Re: A certain roller coaster has 3 cars

by parallel_chase » Thu Sep 11, 2008 5:28 am
ska7945 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?
F. 0
G. 1/9
H. 2/9
I. 1/3
J. 1
Is the answer 2/9.
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by ska7945 » Thu Sep 11, 2008 6:29 am
i had 1/3..what went wrong?
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Re: A certain roller coaster has 3 cars

by parallel_chase » Thu Sep 11, 2008 6:34 am
ska7945 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?
F. 0
G. 1/9
H. 2/9
I. 1/3
J. 1
Choosing the first car is irrelevant.

Second time we have 2 choices.

Third time we only have 1 choice.

1*2/3*1/3 = 2/9

or the other method is


you have 3 cars ABC

ABC can be arranged in 3! ways or 6 ways.

Total permutations = 3*3*3 = 27

Probability = 6/27 = 2/9

Hope this helps.
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See attached

by superrrom » Thu Sep 11, 2008 9:55 am
if don't understand formulas and probabilities - draw a tree
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