Mechanical Engineering Exam > Mechanical Engineering Questions > There are 25 calculators in a box. Two of the...
Start Learning for Free
There are 25 calculators in a box. Two of them are defective. Suppose 5 calculators are randomly picked for inspection (i.e., each has the same chance of being selected), what is the probability that only one of the defective calculators will be included in the inspection?
- a)1/2
- b)1/3
- c)1/4
- d)1/5
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
There are 25 calculators in a box. Two of them are defective. Suppose ...
Probability of only one is defective out of 5 calculators
Most Upvoted Answer
There are 25 calculators in a box. Two of them are defective. Suppose ...
Problem:
There are 25 calculators in a box, out of which 2 are defective. Suppose 5 calculators are randomly picked for inspection. What is the probability that only one of the defective calculators will be included in the inspection?
Solution:
To find the probability that only one of the defective calculators will be included in the inspection, we need to calculate the number of favorable outcomes and divide it by the total number of possible outcomes.
Favorable Outcomes:
To have only one defective calculator included in the inspection, we can choose one defective calculator out of the two available, and then choose four non-defective calculators from the remaining 23. The number of ways to do this can be calculated using the combination formula.
Number of ways to choose 1 defective calculator from 2: C(2, 1) = 2
Number of ways to choose 4 non-defective calculators from 23: C(23, 4) = 23! / (4! * 19!) = 8855
So, the number of favorable outcomes is 2 * 8855 = 17710.
Total Outcomes:
To find the total number of possible outcomes, we need to choose any 5 calculators from the total 25 available. Again, this can be calculated using the combination formula.
Number of ways to choose 5 calculators from 25: C(25, 5) = 25! / (5! * 20!) = 53130
So, the total number of possible outcomes is 53130.
Probability:
Now, we can find the probability by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 17710 / 53130
Probability = 1/3
Therefore, the probability that only one of the defective calculators will be included in the inspection is 1/3. Hence, option B is the correct answer.
There are 25 calculators in a box, out of which 2 are defective. Suppose 5 calculators are randomly picked for inspection. What is the probability that only one of the defective calculators will be included in the inspection?
Solution:
To find the probability that only one of the defective calculators will be included in the inspection, we need to calculate the number of favorable outcomes and divide it by the total number of possible outcomes.
Favorable Outcomes:
To have only one defective calculator included in the inspection, we can choose one defective calculator out of the two available, and then choose four non-defective calculators from the remaining 23. The number of ways to do this can be calculated using the combination formula.
Number of ways to choose 1 defective calculator from 2: C(2, 1) = 2
Number of ways to choose 4 non-defective calculators from 23: C(23, 4) = 23! / (4! * 19!) = 8855
So, the number of favorable outcomes is 2 * 8855 = 17710.
Total Outcomes:
To find the total number of possible outcomes, we need to choose any 5 calculators from the total 25 available. Again, this can be calculated using the combination formula.
Number of ways to choose 5 calculators from 25: C(25, 5) = 25! / (5! * 20!) = 53130
So, the total number of possible outcomes is 53130.
Probability:
Now, we can find the probability by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 17710 / 53130
Probability = 1/3
Therefore, the probability that only one of the defective calculators will be included in the inspection is 1/3. Hence, option B is the correct answer.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
There are 25 calculators in a box. Two of them are defective. Suppose 5 calculators are randomly picked for inspection (i.e., each has the same chance of being selected), what is the probability that only one of the defective calculators will be included in the inspection?a)1/2b)1/3c)1/4d)1/5Correct answer is option 'B'. Can you explain this answer?
Question Description
There are 25 calculators in a box. Two of them are defective. Suppose 5 calculators are randomly picked for inspection (i.e., each has the same chance of being selected), what is the probability that only one of the defective calculators will be included in the inspection?a)1/2b)1/3c)1/4d)1/5Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about There are 25 calculators in a box. Two of them are defective. Suppose 5 calculators are randomly picked for inspection (i.e., each has the same chance of being selected), what is the probability that only one of the defective calculators will be included in the inspection?a)1/2b)1/3c)1/4d)1/5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 25 calculators in a box. Two of them are defective. Suppose 5 calculators are randomly picked for inspection (i.e., each has the same chance of being selected), what is the probability that only one of the defective calculators will be included in the inspection?a)1/2b)1/3c)1/4d)1/5Correct answer is option 'B'. Can you explain this answer?.
There are 25 calculators in a box. Two of them are defective. Suppose 5 calculators are randomly picked for inspection (i.e., each has the same chance of being selected), what is the probability that only one of the defective calculators will be included in the inspection?a)1/2b)1/3c)1/4d)1/5Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about There are 25 calculators in a box. Two of them are defective. Suppose 5 calculators are randomly picked for inspection (i.e., each has the same chance of being selected), what is the probability that only one of the defective calculators will be included in the inspection?a)1/2b)1/3c)1/4d)1/5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 25 calculators in a box. Two of them are defective. Suppose 5 calculators are randomly picked for inspection (i.e., each has the same chance of being selected), what is the probability that only one of the defective calculators will be included in the inspection?a)1/2b)1/3c)1/4d)1/5Correct answer is option 'B'. Can you explain this answer?.
Solutions for There are 25 calculators in a box. Two of them are defective. Suppose 5 calculators are randomly picked for inspection (i.e., each has the same chance of being selected), what is the probability that only one of the defective calculators will be included in the inspection?a)1/2b)1/3c)1/4d)1/5Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of There are 25 calculators in a box. Two of them are defective. Suppose 5 calculators are randomly picked for inspection (i.e., each has the same chance of being selected), what is the probability that only one of the defective calculators will be included in the inspection?a)1/2b)1/3c)1/4d)1/5Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
There are 25 calculators in a box. Two of them are defective. Suppose 5 calculators are randomly picked for inspection (i.e., each has the same chance of being selected), what is the probability that only one of the defective calculators will be included in the inspection?a)1/2b)1/3c)1/4d)1/5Correct answer is option 'B'. Can you explain this answer?, a detailed solution for There are 25 calculators in a box. Two of them are defective. Suppose 5 calculators are randomly picked for inspection (i.e., each has the same chance of being selected), what is the probability that only one of the defective calculators will be included in the inspection?a)1/2b)1/3c)1/4d)1/5Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of There are 25 calculators in a box. Two of them are defective. Suppose 5 calculators are randomly picked for inspection (i.e., each has the same chance of being selected), what is the probability that only one of the defective calculators will be included in the inspection?a)1/2b)1/3c)1/4d)1/5Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice There are 25 calculators in a box. Two of them are defective. Suppose 5 calculators are randomly picked for inspection (i.e., each has the same chance of being selected), what is the probability that only one of the defective calculators will be included in the inspection?a)1/2b)1/3c)1/4d)1/5Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering 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