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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?
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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.
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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?
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 2024 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 2024 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 2024 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 2024 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?.
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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
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