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A bag has 20 marbles that are either black or white.
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25 Dec 2018, 15:14
25 Dec 2018, 15:14
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Expert Reply
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Question Stats:
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15% (00:50) wrong based on 95 sessions
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A bag has 20 marbles that are either black or white.
Quantity A |
Quantity B |
The number of times one must randomly draw a marble from the bag, without replacing it, to ensure that at least 4 black marbles are selected |
The number of times one must randomly draw a marble from the bag, without replacing it, to ensure that at least 4 white marbles are selected |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
_________________
Re: A bag has 20 marbles that are either black or white.
[#permalink]
26 Dec 2018, 13:12
26 Dec 2018, 13:12
2
Answer: D
20 marbles: black or white
A: The number of times one must randomly draw a marble from the bag, without replacing it, to ensure that at least 4 black marbles are selected
B: The number of times one must randomly draw a marble from the bag, without replacing it, to ensure that at least 4 white marbles are selected
Since we don’t have any information about the number of black or white ones, we can't decide which one is more or less, therefore, we can't construe about their probabilities. hence, the answer is D.
_________________
20 marbles: black or white
A: The number of times one must randomly draw a marble from the bag, without replacing it, to ensure that at least 4 black marbles are selected
B: The number of times one must randomly draw a marble from the bag, without replacing it, to ensure that at least 4 white marbles are selected
Since we don’t have any information about the number of black or white ones, we can't decide which one is more or less, therefore, we can't construe about their probabilities. hence, the answer is D.
_________________
Follow your heart
Re: A bag has 20 marbles that are either black or white.
[#permalink]
27 Dec 2018, 00:25
27 Dec 2018, 00:25
2
Expert Reply
Carcass wrote:
A bag has 20 marbles that are either black or white.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The number of times one must randomly draw a marble from the bag, without replacing it, to ensure that at least 4 black marbles are selected |
The number of times one must randomly draw a marble from the bag, without replacing it, to ensure that at least 4 white marbles are selected |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Our answer will be the marbles which are lesser than the other.
Say there are 5 black and 15 whites..
We can be sure that 4 whites are there if we pick 5+4=9 and that 4 blacks are there if we pick 15+4=19..
But we are not aware of the number of black or white marbles.
Thus D
_________________
Some useful Theory.
1. Arithmetic and Geometric progressions : https://gre.myprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://gre.myprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://gre.myprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://gre.myprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://gre.myprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html
1. Arithmetic and Geometric progressions : https://gre.myprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://gre.myprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://gre.myprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://gre.myprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://gre.myprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html
Re: A bag has 20 marbles that are either black or white.
[#permalink]
09 Sep 2019, 19:21
09 Sep 2019, 19:21
2
Carcass wrote:
A bag has 20 marbles that are either black or white.
Quantity A |
Quantity B |
The number of times one must randomly draw a marble from the bag, without replacing it, to ensure that at least 4 black marbles are selected |
The number of times one must randomly draw a marble from the bag, without replacing it, to ensure that at least 4 white marbles are selected |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
We don't know what's in the bag. EX. what if they're all white or all black?
Since we already found 2 answers that that would change the answer, clearly we don't have a enough information.
D.
Re: A bag has 20 marbles that are either black or white.
[#permalink]
23 Feb 2023, 07:30
23 Feb 2023, 07:30
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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