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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # A number, x, is randomly selected from the integers from 42  Question banks Downloads My Bookmarks Reviews Important topics
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A number, x, is randomly selected from the integers from 42 [#permalink]
Expert's post 00:00

Question Stats: 70% (00:37) correct 29% (00:54) wrong based on 31 sessions
A number, x, is randomly selected from the integers from 42 to 92 inclusive.

 Quantity A Quantity B The probability that x is odd. The probability that x is even.

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
[Reveal] Spoiler: OA

_________________ GRE Instructor Joined: 10 Apr 2015
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Kudos [?]: 1686  , given: 8

Re: A number, x, is randomly selected from the integers from 42 [#permalink]
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Expert's post
Carcass wrote:
A number, x, is randomly selected from the integers from 42 to 92 inclusive.

 Quantity A Quantity B The probability that x is odd. The probability that x is even.

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

----ASIDE---------------------
Since even and odd integers alternate, one might incorrectly assume that each probability = 1/2.
However, if there's an odd number of integers in the group (like 4, 5, 6, 7, 8), the number of even integers is one more than the number of odd integers.
----------------------------------

A nice rule says: the number of integers from x to y inclusive equals y - x + 1
So, the number of integers from 42 to 92 inclusive = 92 - 42 + 1 = 51

Since our integers start and end with an EVEN integer (42 and 92) there must be 26 EVEN integers and 25 ODD integers.

So P(x is EVEN) = 26/51
and P(x is ODD) = 25/51

We get:
QUANTITY A: 25/51
QUANTITY B: 26/51

Answer: B

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Day emails Manager Joined: 22 Feb 2018
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Kudos [?]: 109  , given: 22

Re: A number, x, is randomly selected from the integers from 42 [#permalink]
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Answer: B

Numbers between 42 and 92 are 42,…,92 and their quantity is 92-42+1 = 51
Odd numbers are: 43,45,…, 91, So there are (91-43) / 2 + 1 = 25 odd numbers.
Even numbers are: 42,44,…, 92, So there are (92-42) / 2 + 1 = 26 even numbers.

P(A) = 25/51
P(B) = 26/51
As number of even numbers is more than odd ones, the probability that x is even is more than the probability that x is odd.
_________________

Follow your heart Re: A number, x, is randomly selected from the integers from 42   [#permalink] 27 Dec 2018, 17:22
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