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Re: In a certain class, one student is to be selected at random to read. [#permalink]
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SOLUTION

In a certain class, one student is to be selected at random to read. What is the probability that a boy will read?

(1) Two-thirds of the students in the class are boys. Directly gives us the probability of selecting a boy. Sufficient.
(2) Ten of the students in the class are girls. Clearly insufficient.

Answer: A.
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Re: In a certain class, one student is to be selected at random to read. [#permalink]
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Bunuel wrote:
In a certain class, one student is to be selected at random to read. What is the probability that a boy will read?

(1) Two-thirds of the students in the class are boys.
(2) Ten of the students in the class are girls.


We need to determine the probability that a boy will be selected to read, in a class of boys and girls.

Statement One Alone:

Two-thirds of the students in the class are boys.

Since we know that 2/3 of the class are boys, we know that the probability of randomly selecting a boy to read is 2/3. Statement one alone is sufficient to answer the question. We can eliminate answer choices B, C, and E.

Statement Two Alone:

Ten of the students in the class are girls.

Without knowing the number of boys in the class, we cannot determine the probability that a boy will be selected to read. Statement two alone is not sufficient to answer the question.

Answer: A
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Re: In a certain class, one student is to be selected at random to read. [#permalink]
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susheelh wrote:
Hi!

This may sound stupid to ask, but are we not assuming that the student we pick can read? I mean, I could not see anywhere in the stem that every student we pick is capable of reading.


It's safe to assume that a student can read...
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Re: In a certain class, one student is to be selected at random to read. [#permalink]
Hi!

This may sound stupid to ask, but are we not assuming that the student we pick can read? I mean, I could not see anywhere in the stem that says the student we pick is capable of reading.

Originally posted by susheelh on 02 Sep 2017, 07:19.
Last edited by susheelh on 02 Sep 2017, 08:19, edited 1 time in total.
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Re: In a certain class, one student is to be selected at random to read. [#permalink]
Thanks Bunuel for the answer!

Its just that this is a DS question. I marked it as E since I thought some of the students can't read. Maybe this happened since I have a young son whom I am still not able to teach how to read :-D

I get it now. Its safe to assume everyone can read.

Bunuel wrote:
susheelh wrote:
Hi!

This may sound stupid to ask, but are we not assuming that the student we pick can read? I mean, I could not see anywhere in the stem that every student we pick is capable of reading.


It's safe to assume that a student can read...
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Re: In a certain class, one student is to be selected at random to read. [#permalink]
Ans is A

1)Let 6x students , then 4x boys
selecting 1 boy out of 4x = 4x and out of 6x is 6x
so P = 4x/6x = 2/3 , Sufficient


2)total number of girls = 10 , insufficient as number of boys are unknown. D eliminated
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Re: In a certain class, one student is to be selected at random to read. [#permalink]
Bunuel wrote:
In a certain class, one student is to be selected at random to read. What is the probability that a boy will read?

(1) Two-thirds of the students in the class are boys.
(2) Ten of the students in the class are girls.

Practice Questions
Question: 3
Page: 275
Difficulty: 550



Two-thirds of the students in the class are boys. S1 gives the desired outcome/total possibilities as 2/3. So clearly sufficient.

Statement 2 gives no clue abt the total students or the number of boys. Insufficient.

Ans:A
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Re: In a certain class, one student is to be selected at random to read. [#permalink]
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