x is chosen at random from the set {1,2,3,4} and y is chosen at random from the set {5,7,9}.Quantity AThe probability that xy will be evenQuantity BThe probability that (x+y) will be evena)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.Correct answer is option 'C'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

GRE Exam > GRE Questions > x is chosen at random from the set {1,2,3,4} ...

Join the Discussion on the App

x is chosen at random from the set {1,2,3,4} and y is chosen at random from the set {5,7,9}.
Quantity A
The probability that xy will be even
Quantity B
The probability that (x+y) will be 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.

Correct answer is option 'C'. Can you explain this answer?

FREE This question is part of

Mock Test for GRE - 2

Attempt Test

Attempt this Test

Most Upvoted Answer

x is chosen at random from the set {1,2,3,4} and y is chosen at random...

Given:

x is chosen from the set {1,2,3,4}
y is chosen from the set {5,7,9}

We have to compare 'the probability that the product of x & y will be even' and 'the probability that the sum of x & y will be even.'
The probability that xy will be even

For the product of two positive integers to be even, at least of them must be even. We see that the set 2 consists of only odd integers, and there are two terms (2 and 4) in the set 1 and are even. Thus, if we choose one of those two terms (2 and 4), (x × y) would be even. In other way, the selection from the set 2 does not matter.
# of ways the product of x and y is even
= (# of ways to choose an even integer from the set 1) × (# of ways to choose any integer from the set 2)

These 6 ways would be

2 × 5 = 10 (even)
2 × 7 = 14 (even)
2 × 9 = 18 (even)
4 × 5 = 20 (even)
4 × 7 = 28 (even)
4 × 9 = 36 (even)

Total # of ways x and y can be chosen = C₁⁴× C₁³= 4 × 3 = 12 ways
The probability that xy will be even

Now let's calculate the probability that (x + y) will be even
The probability that (x + y) will be even

The sum of two positive integers would be even if either both are even or both are odd. As we see that the set 2 had only odd integers, thus, if we choose odd integers from the set 1, we get the sum of x and y as even.
This situation is similar to the one discussed for Quantity A; for Quantity A, from the set 1, we would choose any of the two even integers out of the four integers, for Quantity B, we would choose any of the two odd integers out of the four integers. Selection from the set 2 does not matter.
Thus, the probability that (x+y) will be even = the probability that xy will be even = 1/2 (result copied from above)
Thus, Quantity A (= 1/2) is equal to Quantity B (= 1/2).

Answered by Talent Skill Learning · View profile

Attention GRE Students!

To make sure you are not studying endlessly, EduRev has designed GRE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GRE.

GRE Mock Test Series 2024

Crash Course for GRE

Section-wise Tests for GRE

Quantitative Reasoning for GRE

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for GRE exam

Similar GRE Doubts

Directions: compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.Q. (x + 3)( y − 4) = 0Quantity A: xyQuantity B: -12

View answer

Directions: Select one of the following answer choices.Q. A random variable Y is normally distributed with a mean of 200 and a standard deviation of 10.Quantity A: The probability of the event that the value of Y is greater than 220Quantity B: 1/6

View answer

Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and ﬁll in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. x Quantity A - x5Quantity B - x4

View answer

Directions: Select one of the following answer choices.Q. p is the probability that event E will occur, and s is the probability that event E will not occur.Quantity A: p + sQuantity B: ps

View answer

Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaningthroughout the question.Q. x + y = −1Quantity A: xQuantity B: y

View answer

Top Courses for GREView all

GRE Mock Test Series 2024

Crash Course for GRE

Section-wise Tests for GRE

Quantitative Reasoning for GRE

100 RCs for GRE

Top Courses for GRE

View all

x is chosen at random from the set {1,2,3,4} and y is chosen at random from the set {5,7,9}.Quantity AThe probability that xy will be evenQuantity BThe probability that (x+y) will be evena)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.Correct answer is option 'C'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
x is chosen at random from the set {1,2,3,4} and y is chosen at random from the set {5,7,9}.Quantity AThe probability that xy will be evenQuantity BThe probability that (x+y) will be evena)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.Correct answer is option 'C'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about x is chosen at random from the set {1,2,3,4} and y is chosen at random from the set {5,7,9}.Quantity AThe probability that xy will be evenQuantity BThe probability that (x+y) will be evena)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.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for x is chosen at random from the set {1,2,3,4} and y is chosen at random from the set {5,7,9}.Quantity AThe probability that xy will be evenQuantity BThe probability that (x+y) will be evena)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.Correct answer is option 'C'. Can you explain this answer?.

Solutions for x is chosen at random from the set {1,2,3,4} and y is chosen at random from the set {5,7,9}.Quantity AThe probability that xy will be evenQuantity BThe probability that (x+y) will be evena)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.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GRE. Download more important topics, notes, lectures and mock test series for GRE Exam by signing up for free.

Here you can find the meaning of x is chosen at random from the set {1,2,3,4} and y is chosen at random from the set {5,7,9}.Quantity AThe probability that xy will be evenQuantity BThe probability that (x+y) will be evena)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.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of x is chosen at random from the set {1,2,3,4} and y is chosen at random from the set {5,7,9}.Quantity AThe probability that xy will be evenQuantity BThe probability that (x+y) will be evena)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.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for x is chosen at random from the set {1,2,3,4} and y is chosen at random from the set {5,7,9}.Quantity AThe probability that xy will be evenQuantity BThe probability that (x+y) will be evena)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.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of x is chosen at random from the set {1,2,3,4} and y is chosen at random from the set {5,7,9}.Quantity AThe probability that xy will be evenQuantity BThe probability that (x+y) will be evena)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.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice x is chosen at random from the set {1,2,3,4} and y is chosen at random from the set {5,7,9}.Quantity AThe probability that xy will be evenQuantity BThe probability that (x+y) will be evena)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.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GRE tests.

Explore Courses for GRE exam