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DS Problem

Expert replies
by mchaubey » Fri Apr 02, 2010 3:06 pm
If a number n is pulled out of a hat at random, what is the probability that( 1/2)n - 2 ≥ 0?

(1) There are 6 numbers in the hat and each number is an integer.

(2) For every value of n in the hat, 1 ≤ n ≤ 30.
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Source: — Data Sufficiency |

by vineetbatra » Fri Apr 02, 2010 3:28 pm
I will go with E

We can rephrase the Q as 1/2n-2n >= 0 so what is the prob of n>= 4.

statement 1 tells us there are 6 numbers in the hat, but I don't know how many numbers are >= 4 so insuff

Statement 2 tells that n is between 1 and 30, but it doesn't say that the numbers are not repeated so the numbers can be all 2's

even combining 1 and 2 we cannot deduce anything.
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by eaakbari » Sat Apr 03, 2010 12:18 am
mchaubey
Posted: Fri Apr 02, 2010 4:06 pm
If a number n is pulled out of a hat at random, what is the probability that( 1/2)n - 2 â"°Â¥ 0?

(1) There are 6 numbers in the hat and each number is an integer.

(2) For every value of n in the hat, 1 â"°Â¤ n â"°Â¤ 30.


Stem:

n/2 - 2 >=0
Hence n/2 has to be greater than two and n has to be div by 2.

Hence we have even number greater than 4 satisfying

Statement one
We have no idea about what the 6 numbers are. Insuff

Statement two
We dont know how many number are there or what they are. Insuff

Combined
The 6 number could have a wide range from 0 to 30
Insuff


Answer E
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