Mechanical Engineering Exam > Mechanical Engineering Questions > A box contains 5 black balls and 3 red balls....
Start Learning for Free
A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is
- a)3/8
- b)2/15
- c)15/28
- d)½
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A box contains 5 black balls and 3 red balls. A total of three balls a...
Here the possible combination of picking up three balls without replacement is BBR, BRB, RBB.
(B = Black ball, R = Red balls)
9
∴ Probability of getting two black balls and one red ball is (5/28)x3 = 15/28.
Most Upvoted Answer
A box contains 5 black balls and 3 red balls. A total of three balls a...
Problem:
A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is
a) 3/8
b) 2/15
c) 15/28
d)
Solution:
To find the probability of getting two black balls and one red ball, we need to consider the number of favorable outcomes and the total number of possible outcomes.
Favorable Outcomes:
To have two black balls and one red ball, we can choose 2 black balls out of the 5 available and one red ball out of the 3 available. The number of ways to do this can be calculated using combinations.
Number of ways to choose 2 black balls from 5: C(5, 2) = 10
Number of ways to choose 1 red ball from 3: C(3, 1) = 3
Therefore, the number of favorable outcomes = 10 * 3 = 30
Total Outcomes:
To calculate the total number of possible outcomes, we need to consider the number of ways to choose 3 balls from the total 8 balls in the box.
Number of ways to choose 3 balls from 8: C(8, 3) = 56
Therefore, the total number of possible outcomes = 56
Probability:
The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
Probability of getting two black balls and one red ball = Favorable outcomes / Total outcomes = 30 / 56 = 15 / 28
Therefore, the correct answer is option c) 15/28.
A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is
a) 3/8
b) 2/15
c) 15/28
d)
Solution:
To find the probability of getting two black balls and one red ball, we need to consider the number of favorable outcomes and the total number of possible outcomes.
Favorable Outcomes:
To have two black balls and one red ball, we can choose 2 black balls out of the 5 available and one red ball out of the 3 available. The number of ways to do this can be calculated using combinations.
Number of ways to choose 2 black balls from 5: C(5, 2) = 10
Number of ways to choose 1 red ball from 3: C(3, 1) = 3
Therefore, the number of favorable outcomes = 10 * 3 = 30
Total Outcomes:
To calculate the total number of possible outcomes, we need to consider the number of ways to choose 3 balls from the total 8 balls in the box.
Number of ways to choose 3 balls from 8: C(8, 3) = 56
Therefore, the total number of possible outcomes = 56
Probability:
The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
Probability of getting two black balls and one red ball = Favorable outcomes / Total outcomes = 30 / 56 = 15 / 28
Therefore, the correct answer is option c) 15/28.
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
|
|
Top Courses for Mechanical EngineeringView all
A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is a)3/8 b)2/15 c)15/28 d)½Correct answer is option 'C'. Can you explain this answer?
Question Description
A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is a)3/8 b)2/15 c)15/28 d)½Correct answer is option 'C'. 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 A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is a)3/8 b)2/15 c)15/28 d)½Correct answer is option 'C'. 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 A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is a)3/8 b)2/15 c)15/28 d)½Correct answer is option 'C'. Can you explain this answer?.
A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is a)3/8 b)2/15 c)15/28 d)½Correct answer is option 'C'. 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 A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is a)3/8 b)2/15 c)15/28 d)½Correct answer is option 'C'. 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 A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is a)3/8 b)2/15 c)15/28 d)½Correct answer is option 'C'. Can you explain this answer?.
Solutions for A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is a)3/8 b)2/15 c)15/28 d)½Correct answer is option 'C'. 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 A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is a)3/8 b)2/15 c)15/28 d)½Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is a)3/8 b)2/15 c)15/28 d)½Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is a)3/8 b)2/15 c)15/28 d)½Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is a)3/8 b)2/15 c)15/28 d)½Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is a)3/8 b)2/15 c)15/28 d)½Correct answer is option 'C'. 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