JEE Exam > JEE Questions > Two parts A and B of a machine is manufacture...
Start Learning for Free
Two parts A and B of a machine is manufactured by a firm. Out of 100 A’s 12 are likely to be defective and Out of 100 B’s 8 are likely to be defective. The probability that a machine manufactured by the firm is free from any defect is:
- a)619/625
- b)119/625
- c)6/625
- d)506/625
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two parts A and B of a machine is manufactured by a firm. Out of 100 A...
probability of getting good machine part from A = 88/100
probability of getting good machine part from B = 92/100
P(correction) = (88/100)(92/100)
= 506/625
probability of getting good machine part from B = 92/100
P(correction) = (88/100)(92/100)
= 506/625
Most Upvoted Answer
Two parts A and B of a machine is manufactured by a firm. Out of 100 A...
It's just case of combined probability as the probability of getting good machine part form A= 88/100 and from B =92/100 and by combining each ie 88/100*92/100=8096/10000 or 0.8096 or by simplifying we get 506/625...
Free Test
FREE
| Start Free Test |
Community Answer
Two parts A and B of a machine is manufactured by a firm. Out of 100 A...
To solve this problem, we can use the concept of conditional probability. We need to find the probability that both part A and part B are free from defects.
Let's denote the event "part A is free from defects" as A, and the event "part B is free from defects" as B.
Given information:
P(A being defective) = 12/100 = 3/25
P(B being defective) = 8/100 = 2/25
To find the probability that both parts are free from defects, we can use the formula for conditional probability:
P(A and B) = P(A) * P(B|A)
where P(B|A) is the probability of B given that A has occurred.
From the given information, we know that out of 100 parts A, 12 are likely to be defective. So, the probability that part A is free from defects is:
P(A) = 1 - P(A being defective) = 1 - 3/25 = 22/25
Now, we need to find the probability that part B is free from defects given that part A is free from defects. Since the two events are independent (one part being defective does not affect the other part), the probability of part B being free from defects is the same regardless of whether part A is defective or not. So, we can directly use the given information:
P(B|A) = 1 - P(B being defective) = 1 - 2/25 = 23/25
Calculating the probability that both parts are free from defects:
P(A and B) = P(A) * P(B|A) = (22/25) * (23/25) = 506/625
Therefore, the probability that a machine manufactured by the firm is free from any defect is 506/625.
Hence, the correct answer is option D) 506/625.
Let's denote the event "part A is free from defects" as A, and the event "part B is free from defects" as B.
Given information:
P(A being defective) = 12/100 = 3/25
P(B being defective) = 8/100 = 2/25
To find the probability that both parts are free from defects, we can use the formula for conditional probability:
P(A and B) = P(A) * P(B|A)
where P(B|A) is the probability of B given that A has occurred.
From the given information, we know that out of 100 parts A, 12 are likely to be defective. So, the probability that part A is free from defects is:
P(A) = 1 - P(A being defective) = 1 - 3/25 = 22/25
Now, we need to find the probability that part B is free from defects given that part A is free from defects. Since the two events are independent (one part being defective does not affect the other part), the probability of part B being free from defects is the same regardless of whether part A is defective or not. So, we can directly use the given information:
P(B|A) = 1 - P(B being defective) = 1 - 2/25 = 23/25
Calculating the probability that both parts are free from defects:
P(A and B) = P(A) * P(B|A) = (22/25) * (23/25) = 506/625
Therefore, the probability that a machine manufactured by the firm is free from any defect is 506/625.
Hence, the correct answer is option D) 506/625.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
Two parts A and B of a machine is manufactured by a firm. Out of 100 A’s 12 are likely to be defective and Out of 100 B’s 8 are likely to be defective. The probability that a machine manufactured by the firm is free from any defect is:a)619/625b)119/625c)6/625d)506/625Correct answer is option 'D'. Can you explain this answer?
Question Description
Two parts A and B of a machine is manufactured by a firm. Out of 100 A’s 12 are likely to be defective and Out of 100 B’s 8 are likely to be defective. The probability that a machine manufactured by the firm is free from any defect is:a)619/625b)119/625c)6/625d)506/625Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two parts A and B of a machine is manufactured by a firm. Out of 100 A’s 12 are likely to be defective and Out of 100 B’s 8 are likely to be defective. The probability that a machine manufactured by the firm is free from any defect is:a)619/625b)119/625c)6/625d)506/625Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two parts A and B of a machine is manufactured by a firm. Out of 100 A’s 12 are likely to be defective and Out of 100 B’s 8 are likely to be defective. The probability that a machine manufactured by the firm is free from any defect is:a)619/625b)119/625c)6/625d)506/625Correct answer is option 'D'. Can you explain this answer?.
Two parts A and B of a machine is manufactured by a firm. Out of 100 A’s 12 are likely to be defective and Out of 100 B’s 8 are likely to be defective. The probability that a machine manufactured by the firm is free from any defect is:a)619/625b)119/625c)6/625d)506/625Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two parts A and B of a machine is manufactured by a firm. Out of 100 A’s 12 are likely to be defective and Out of 100 B’s 8 are likely to be defective. The probability that a machine manufactured by the firm is free from any defect is:a)619/625b)119/625c)6/625d)506/625Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two parts A and B of a machine is manufactured by a firm. Out of 100 A’s 12 are likely to be defective and Out of 100 B’s 8 are likely to be defective. The probability that a machine manufactured by the firm is free from any defect is:a)619/625b)119/625c)6/625d)506/625Correct answer is option 'D'. Can you explain this answer?.
Solutions for Two parts A and B of a machine is manufactured by a firm. Out of 100 A’s 12 are likely to be defective and Out of 100 B’s 8 are likely to be defective. The probability that a machine manufactured by the firm is free from any defect is:a)619/625b)119/625c)6/625d)506/625Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Two parts A and B of a machine is manufactured by a firm. Out of 100 A’s 12 are likely to be defective and Out of 100 B’s 8 are likely to be defective. The probability that a machine manufactured by the firm is free from any defect is:a)619/625b)119/625c)6/625d)506/625Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two parts A and B of a machine is manufactured by a firm. Out of 100 A’s 12 are likely to be defective and Out of 100 B’s 8 are likely to be defective. The probability that a machine manufactured by the firm is free from any defect is:a)619/625b)119/625c)6/625d)506/625Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Two parts A and B of a machine is manufactured by a firm. Out of 100 A’s 12 are likely to be defective and Out of 100 B’s 8 are likely to be defective. The probability that a machine manufactured by the firm is free from any defect is:a)619/625b)119/625c)6/625d)506/625Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Two parts A and B of a machine is manufactured by a firm. Out of 100 A’s 12 are likely to be defective and Out of 100 B’s 8 are likely to be defective. The probability that a machine manufactured by the firm is free from any defect is:a)619/625b)119/625c)6/625d)506/625Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two parts A and B of a machine is manufactured by a firm. Out of 100 A’s 12 are likely to be defective and Out of 100 B’s 8 are likely to be defective. The probability that a machine manufactured by the firm is free from any defect is:a)619/625b)119/625c)6/625d)506/625Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
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