Defence Exam > Defence Questions > A box contains 6 distinct dolls. From this bo...
Start Learning for Free
A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls?
- a)5/54
- b)12/25
- c)1/20
- d)5/9
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A box contains 6 distinct dolls. From this box, three dolls are random...
Probability of selecting 3 distinct dolls
Step 1: Finding the total number of possible outcomes
Since we are selecting three dolls with replacement, there are 6 possible choices for each selection. Therefore, the total number of possible outcomes is:
6 x 6 x 6 = 216
Step 2: Finding the number of outcomes with 3 distinct dolls
For the first selection, we can choose any of the 6 dolls. For the second selection, we can choose any of the remaining 5 dolls. Finally, for the third selection, we can choose any of the remaining 4 dolls. Therefore, the number of outcomes with 3 distinct dolls is:
6 x 5 x 4 = 120
Step 3: Calculating the probability
The probability of selecting 3 distinct dolls is the number of outcomes with 3 distinct dolls divided by the total number of possible outcomes:
120/216 = 5/9
Therefore, the correct answer is option A, 5/54.
Step 1: Finding the total number of possible outcomes
Since we are selecting three dolls with replacement, there are 6 possible choices for each selection. Therefore, the total number of possible outcomes is:
6 x 6 x 6 = 216
Step 2: Finding the number of outcomes with 3 distinct dolls
For the first selection, we can choose any of the 6 dolls. For the second selection, we can choose any of the remaining 5 dolls. Finally, for the third selection, we can choose any of the remaining 4 dolls. Therefore, the number of outcomes with 3 distinct dolls is:
6 x 5 x 4 = 120
Step 3: Calculating the probability
The probability of selecting 3 distinct dolls is the number of outcomes with 3 distinct dolls divided by the total number of possible outcomes:
120/216 = 5/9
Therefore, the correct answer is option A, 5/54.
Free Test
FREE
| Start Free Test |
Community Answer
A box contains 6 distinct dolls. From this box, three dolls are random...
A
|
Explore Courses for Defence exam
|
|
Similar Defence Doubts
A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls?a)5/54b)12/25c)1/20d)5/9Correct answer is option 'A'. Can you explain this answer?
Question Description
A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls?a)5/54b)12/25c)1/20d)5/9Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls?a)5/54b)12/25c)1/20d)5/9Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls?a)5/54b)12/25c)1/20d)5/9Correct answer is option 'A'. Can you explain this answer?.
A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls?a)5/54b)12/25c)1/20d)5/9Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls?a)5/54b)12/25c)1/20d)5/9Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls?a)5/54b)12/25c)1/20d)5/9Correct answer is option 'A'. Can you explain this answer?.
Solutions for A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls?a)5/54b)12/25c)1/20d)5/9Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls?a)5/54b)12/25c)1/20d)5/9Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls?a)5/54b)12/25c)1/20d)5/9Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls?a)5/54b)12/25c)1/20d)5/9Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls?a)5/54b)12/25c)1/20d)5/9Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls?a)5/54b)12/25c)1/20d)5/9Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Defence tests.
|
|
Explore Courses for Defence exam
|
|
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