JEE Exam > JEE Questions > A box of oranges is inspected by examining th...
Start Learning for Free
A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.
- a)47/91
- b)49/91
- c)4191
- d)44/91
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A box of oranges is inspected by examining three randomly selected ora...
Total oranges = 15., Good Oranges = 12. Let G stands for a good orange. Therefore , Required Probability = P(GGG) = P(G).P(G/G).P(G/GG) 
Most Upvoted Answer
A box of oranges is inspected by examining three randomly selected ora...
To solve this problem, we need to calculate the probability that all three randomly selected oranges are good.
Let's break down the problem step by step:
Step 1: Total number of ways to select 3 oranges out of 15
The total number of ways to select 3 oranges out of 15 is given by the combination formula:
C(15, 3) = 15! / (3!(15-3)!) = 15! / (3!12!) = (15 * 14 * 13) / (3 * 2 * 1) = 455
Step 2: Number of ways to select 3 good oranges
Since there are 12 good oranges in the box, the number of ways to select 3 good oranges is given by:
C(12, 3) = 12! / (3!(12-3)!) = 12! / (3!9!) = (12 * 11 * 10) / (3 * 2 * 1) = 220
Step 3: Probability of selecting 3 good oranges
The probability of selecting 3 good oranges is the ratio of the number of ways to select 3 good oranges to the total number of ways to select 3 oranges:
P(3 good oranges) = 220 / 455 = 44/91
Therefore, the probability that the box will be approved for sale is 44/91, which corresponds to option D.
Let's break down the problem step by step:
Step 1: Total number of ways to select 3 oranges out of 15
The total number of ways to select 3 oranges out of 15 is given by the combination formula:
C(15, 3) = 15! / (3!(15-3)!) = 15! / (3!12!) = (15 * 14 * 13) / (3 * 2 * 1) = 455
Step 2: Number of ways to select 3 good oranges
Since there are 12 good oranges in the box, the number of ways to select 3 good oranges is given by:
C(12, 3) = 12! / (3!(12-3)!) = 12! / (3!9!) = (12 * 11 * 10) / (3 * 2 * 1) = 220
Step 3: Probability of selecting 3 good oranges
The probability of selecting 3 good oranges is the ratio of the number of ways to select 3 good oranges to the total number of ways to select 3 oranges:
P(3 good oranges) = 220 / 455 = 44/91
Therefore, the probability that the box will be approved for sale is 44/91, which corresponds to option D.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
Question Description
A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.a)47/91b)49/91c)4191d)44/91Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.a)47/91b)49/91c)4191d)44/91Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.a)47/91b)49/91c)4191d)44/91Correct answer is option 'D'. Can you explain this answer?.
A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.a)47/91b)49/91c)4191d)44/91Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.a)47/91b)49/91c)4191d)44/91Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.a)47/91b)49/91c)4191d)44/91Correct answer is option 'D'. Can you explain this answer?.
Solutions for A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.a)47/91b)49/91c)4191d)44/91Correct 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 A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.a)47/91b)49/91c)4191d)44/91Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.a)47/91b)49/91c)4191d)44/91Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.a)47/91b)49/91c)4191d)44/91Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.a)47/91b)49/91c)4191d)44/91Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.a)47/91b)49/91c)4191d)44/91Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily