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Amit05
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Fistail
first - Roller coaster:

total = 9
all three = 1
so prob = 1/9


You are wrong.. or OA is wrong.. which one do you think ?
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Second: E.

1: 2x > y.
2: y > x.

from 1 and 2: 2x > y > x. so insufficient..


Yes, you are right.. The OA is E. Even I had got it right.. I don;t know why I posted this question ..:)
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Roller Coaster
Probab = 3/3*2/3*1/3 =2/9
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For the DS, none of the st. are suff. so E
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Artemov
Roller Coaster
Probab = 3/3*2/3*1/3 =2/9


Could you please explain your reasoning ..??
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first - Roller coaster:

total = 9
all three = 1
so prob = 1/9


total = 3^3 = 27
all three = 3! = 6
so prob = 6/27 = 2/9
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Artemov
Roller Coaster
Probab = 3/3*2/3*1/3 =2/9

Could you please explain your reasoning ..??


when he first steps up to ride it does not matter which car he takes since he only has to ride in each car once so 3/3

second time round it does there are only 2/3 cars he can ride in and the third time he must ride in the last car 1/3

so 2/3*1/3=2/9 (of course one could argue that he could increase his chances by bribing the people placing passengers on the rids)
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P(first car) = P(second car) = P(third car) = 1/3

If the cars are A,B and C and the passenger can sit in any orders, then there are 6 ways to permute how the passenger sits in the cars. Each way = 1/27. So 6 ways = 6/27 = 2/9
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St1:

2x > y
4x > 2y.

St1 is insufficient as 4x could be greater than 3y, or less than 3y.

St2:
x < y
4x < 4y.
Insufficient. 4x could be greater than 3y or less than 3y.

St1 & St2:
2y < 4x < 4y
Insufficient. COuld be greater than 3y or less than 3y.

Ans E



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