CAT Exam  >  CAT Questions  >   Three screws are drawn at random from a lot ... Start Learning for Free
Three screws are drawn at random from a lot of 100 screws, 10 of which are defective. The probability of the event that all 3 screws drawn are non-defective, assuming that the screws are drawn without replacement, is
  • a)
    70.65%
  • b)
    71.65%
  • c)
    74.65%
  • d)
    72.65%
  • e)
    75.23%
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Three screws are drawn at random from a lot of 100 screws, 10 of whic...
The probability of the event that all 3 screws drawn are non-defective = (90/100) x (89/99) x (88/98) = 72.65%
View all questions of this test
Most Upvoted Answer
Three screws are drawn at random from a lot of 100 screws, 10 of whic...
Solution:

Given, total screws = 100
Defective screws = 10
Non-defective screws = 90

We need to find the probability of selecting 3 non-defective screws.

Probability of selecting 1st non-defective screw = 90/100
Probability of selecting 2nd non-defective screw = 89/99 (as 1 screw has already been selected)
Probability of selecting 3rd non-defective screw = 88/98 (as 2 screws have already been selected)

Therefore, the probability of selecting 3 non-defective screws = (90/100) x (89/99) x (88/98) = 0.7265 or 72.65%

Hence, option D is the correct answer.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam
Three screws are drawn at random from a lot of 100 screws, 10 of which are defective. The probability of the event that all 3 screws drawn are non-defective, assuming that the screws are drawn without replacement, isa) 70.65%b) 71.65%c) 74.65%d) 72.65%e) 75.23%Correct answer is option 'D'. Can you explain this answer?
Question Description
Three screws are drawn at random from a lot of 100 screws, 10 of which are defective. The probability of the event that all 3 screws drawn are non-defective, assuming that the screws are drawn without replacement, isa) 70.65%b) 71.65%c) 74.65%d) 72.65%e) 75.23%Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Three screws are drawn at random from a lot of 100 screws, 10 of which are defective. The probability of the event that all 3 screws drawn are non-defective, assuming that the screws are drawn without replacement, isa) 70.65%b) 71.65%c) 74.65%d) 72.65%e) 75.23%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three screws are drawn at random from a lot of 100 screws, 10 of which are defective. The probability of the event that all 3 screws drawn are non-defective, assuming that the screws are drawn without replacement, isa) 70.65%b) 71.65%c) 74.65%d) 72.65%e) 75.23%Correct answer is option 'D'. Can you explain this answer?.
Solutions for Three screws are drawn at random from a lot of 100 screws, 10 of which are defective. The probability of the event that all 3 screws drawn are non-defective, assuming that the screws are drawn without replacement, isa) 70.65%b) 71.65%c) 74.65%d) 72.65%e) 75.23%Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Three screws are drawn at random from a lot of 100 screws, 10 of which are defective. The probability of the event that all 3 screws drawn are non-defective, assuming that the screws are drawn without replacement, isa) 70.65%b) 71.65%c) 74.65%d) 72.65%e) 75.23%Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Three screws are drawn at random from a lot of 100 screws, 10 of which are defective. The probability of the event that all 3 screws drawn are non-defective, assuming that the screws are drawn without replacement, isa) 70.65%b) 71.65%c) 74.65%d) 72.65%e) 75.23%Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Three screws are drawn at random from a lot of 100 screws, 10 of which are defective. The probability of the event that all 3 screws drawn are non-defective, assuming that the screws are drawn without replacement, isa) 70.65%b) 71.65%c) 74.65%d) 72.65%e) 75.23%Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Three screws are drawn at random from a lot of 100 screws, 10 of which are defective. The probability of the event that all 3 screws drawn are non-defective, assuming that the screws are drawn without replacement, isa) 70.65%b) 71.65%c) 74.65%d) 72.65%e) 75.23%Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Three screws are drawn at random from a lot of 100 screws, 10 of which are defective. The probability of the event that all 3 screws drawn are non-defective, assuming that the screws are drawn without replacement, isa) 70.65%b) 71.65%c) 74.65%d) 72.65%e) 75.23%Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev