Quant Exam > Quant Questions > There are 8 positive numbers and 6 negative n...
Start Learning for Free
There are 8 positive numbers and 6 negative numbers. 4 numbers are chosen at random and multiplied. Find the probability that the product is a positive number ?
- a)1001/505
- b)101/505
- c)505/1001
- d)450/965
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
There are 8 positive numbers and 6 negative numbers. 4 numbers are cho...
Explanation :
14C4 = 14*13*12*11/4*3*2*1 = 1001
4 No positive+4 no negative + (2 no positive * 2 no negative)
= 6C4 + 8C4 +(6C2 x8C2) = 15+70+15*28 = 505
P = 505/1001
Most Upvoted Answer
There are 8 positive numbers and 6 negative numbers. 4 numbers are cho...
Solution:
Given, there are 8 positive numbers and 6 negative numbers.
We need to find the probability that the product of 4 randomly chosen numbers is a positive number.
To find the probability, we need to find the number of ways in which the product of 4 randomly chosen numbers is positive and divide it by the total number of ways in which 4 numbers can be chosen from the given set of 14 numbers.
Let's first find the total number of ways in which 4 numbers can be chosen from the given set of 14 numbers.
Total number of ways = 14C4 = (14*13*12*11)/(4*3*2*1) = 1001
Now, let's find the number of ways in which the product of 4 randomly chosen numbers is positive.
Case 1: All 4 numbers are positive
Number of ways = 8C4 = (8*7*6*5)/(4*3*2*1) = 70
Case 2: 3 numbers are positive and 1 number is negative
Number of ways = (8C3)*(6C1) = (8*7*6/3*2*1)*6 = 336
Case 3: 2 numbers are positive and 2 numbers are negative
Number of ways = (8C2)*(6C2) = (8*7/2*1)*(6*5/2*1) = 420
Total number of ways in which the product of 4 randomly chosen numbers is positive = 70+336+420 = 826
Therefore, the probability that the product of 4 randomly chosen numbers is a positive number = (number of ways in which the product of 4 randomly chosen numbers is positive)/(total number of ways in which 4 numbers can be chosen from the given set of 14 numbers) = 826/1001 = 505/1001
Hence, the correct option is C) 505/1001.
Given, there are 8 positive numbers and 6 negative numbers.
We need to find the probability that the product of 4 randomly chosen numbers is a positive number.
To find the probability, we need to find the number of ways in which the product of 4 randomly chosen numbers is positive and divide it by the total number of ways in which 4 numbers can be chosen from the given set of 14 numbers.
Let's first find the total number of ways in which 4 numbers can be chosen from the given set of 14 numbers.
Total number of ways = 14C4 = (14*13*12*11)/(4*3*2*1) = 1001
Now, let's find the number of ways in which the product of 4 randomly chosen numbers is positive.
Case 1: All 4 numbers are positive
Number of ways = 8C4 = (8*7*6*5)/(4*3*2*1) = 70
Case 2: 3 numbers are positive and 1 number is negative
Number of ways = (8C3)*(6C1) = (8*7*6/3*2*1)*6 = 336
Case 3: 2 numbers are positive and 2 numbers are negative
Number of ways = (8C2)*(6C2) = (8*7/2*1)*(6*5/2*1) = 420
Total number of ways in which the product of 4 randomly chosen numbers is positive = 70+336+420 = 826
Therefore, the probability that the product of 4 randomly chosen numbers is a positive number = (number of ways in which the product of 4 randomly chosen numbers is positive)/(total number of ways in which 4 numbers can be chosen from the given set of 14 numbers) = 826/1001 = 505/1001
Hence, the correct option is C) 505/1001.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
There are 8 positive numbers and 6 negative numbers. 4 numbers are chosen at random and multiplied. Find the probability that the product is a positive number ?a)1001/505b)101/505c)505/1001d)450/965Correct answer is option 'C'. Can you explain this answer?
Question Description
There are 8 positive numbers and 6 negative numbers. 4 numbers are chosen at random and multiplied. Find the probability that the product is a positive number ?a)1001/505b)101/505c)505/1001d)450/965Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about There are 8 positive numbers and 6 negative numbers. 4 numbers are chosen at random and multiplied. Find the probability that the product is a positive number ?a)1001/505b)101/505c)505/1001d)450/965Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 8 positive numbers and 6 negative numbers. 4 numbers are chosen at random and multiplied. Find the probability that the product is a positive number ?a)1001/505b)101/505c)505/1001d)450/965Correct answer is option 'C'. Can you explain this answer?.
There are 8 positive numbers and 6 negative numbers. 4 numbers are chosen at random and multiplied. Find the probability that the product is a positive number ?a)1001/505b)101/505c)505/1001d)450/965Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about There are 8 positive numbers and 6 negative numbers. 4 numbers are chosen at random and multiplied. Find the probability that the product is a positive number ?a)1001/505b)101/505c)505/1001d)450/965Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 8 positive numbers and 6 negative numbers. 4 numbers are chosen at random and multiplied. Find the probability that the product is a positive number ?a)1001/505b)101/505c)505/1001d)450/965Correct answer is option 'C'. Can you explain this answer?.
Solutions for There are 8 positive numbers and 6 negative numbers. 4 numbers are chosen at random and multiplied. Find the probability that the product is a positive number ?a)1001/505b)101/505c)505/1001d)450/965Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of There are 8 positive numbers and 6 negative numbers. 4 numbers are chosen at random and multiplied. Find the probability that the product is a positive number ?a)1001/505b)101/505c)505/1001d)450/965Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
There are 8 positive numbers and 6 negative numbers. 4 numbers are chosen at random and multiplied. Find the probability that the product is a positive number ?a)1001/505b)101/505c)505/1001d)450/965Correct answer is option 'C'. Can you explain this answer?, a detailed solution for There are 8 positive numbers and 6 negative numbers. 4 numbers are chosen at random and multiplied. Find the probability that the product is a positive number ?a)1001/505b)101/505c)505/1001d)450/965Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of There are 8 positive numbers and 6 negative numbers. 4 numbers are chosen at random and multiplied. Find the probability that the product is a positive number ?a)1001/505b)101/505c)505/1001d)450/965Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice There are 8 positive numbers and 6 negative numbers. 4 numbers are chosen at random and multiplied. Find the probability that the product is a positive number ?a)1001/505b)101/505c)505/1001d)450/965Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup