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Scoretop 10 - Question 2

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Scoretop 10 - Question 2

by akay » Thu Sep 27, 2007 7:02 am
A probability question that has me foxed

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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by kajcha » Thu Sep 27, 2007 7:17 am
IMO C

Total conditions = 3*3*3

Fav conditions = First time he has option of 3, second time 2 and third time 1

Probability = 6/27 = 2/9
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by akay » Thu Sep 27, 2007 7:36 am
thanks kajcha for your time.
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by sudeeparies » Thu Sep 27, 2007 12:26 pm
This is not a tough nut..1st place prob. 1/3, 2nd place prob- 2/3 and 3rd place prob is obviously 1.Hence 1/3*2/3*1=2/9
Hence C
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