Quant Exam > Quant Questions > A bag contain 6 blue, 4 red, and 5 green ball...
Start Learning for Free
A bag contain 6 blue, 4 red, and 5 green balls. If three balls are drawn randomly without replacement then find the probability of getting utmost one colour ?
Most Upvoted Answer
A bag contain 6 blue, 4 red, and 5 green balls. If three balls are dra...
Problem: A bag contains 6 blue, 4 red, and 5 green balls. If three balls are drawn randomly without replacement, find the probability of getting utmost one color.
Solution:
Step 1: Total number of ways to draw three balls without replacement
Total number of ways to draw three balls without replacement = Total number of ways to choose 3 balls out of 15 balls = 15C3 = (15*14*13)/(3*2*1) = 455
Step 2: Probability of getting all balls of the same color
Probability of getting all balls of the same color = (6C3 + 4C3 + 5C3)/455 = (20+4+10)/455 = 34/455 = 0.0747
Step 3: Probability of getting two balls of one color and one ball of another color
Probability of getting two balls of one color and one ball of another color = (6C2*4C1 + 6C1*4C2 + 6C1*5C2)/455 = (90+72+60)/455 = 222/455 = 0.4879
Step 4: Probability of getting one ball of each color
Probability of getting one ball of each color = (6C1*4C1*5C1)/455 = 120/455 = 0.2637
Step 5: Probability of getting utmost one color
Probability of getting utmost one color = Probability of getting all balls of the same color + Probability of getting two balls of one color and one ball of another color + Probability of getting one ball of each color = 0.0747 + 0.4879 + 0.2637 = 0.8263
Therefore, the probability of getting utmost one color when three balls are drawn randomly without replacement is 0.8263.
Solution:
Step 1: Total number of ways to draw three balls without replacement
Total number of ways to draw three balls without replacement = Total number of ways to choose 3 balls out of 15 balls = 15C3 = (15*14*13)/(3*2*1) = 455
Step 2: Probability of getting all balls of the same color
Probability of getting all balls of the same color = (6C3 + 4C3 + 5C3)/455 = (20+4+10)/455 = 34/455 = 0.0747
Step 3: Probability of getting two balls of one color and one ball of another color
Probability of getting two balls of one color and one ball of another color = (6C2*4C1 + 6C1*4C2 + 6C1*5C2)/455 = (90+72+60)/455 = 222/455 = 0.4879
Step 4: Probability of getting one ball of each color
Probability of getting one ball of each color = (6C1*4C1*5C1)/455 = 120/455 = 0.2637
Step 5: Probability of getting utmost one color
Probability of getting utmost one color = Probability of getting all balls of the same color + Probability of getting two balls of one color and one ball of another color + Probability of getting one ball of each color = 0.0747 + 0.4879 + 0.2637 = 0.8263
Therefore, the probability of getting utmost one color when three balls are drawn randomly without replacement is 0.8263.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A bag contain 6 blue, 4 red, and 5 green balls. If three balls are drawn randomly without replacement then find the probability of getting utmost one colour ?
Question Description
A bag contain 6 blue, 4 red, and 5 green balls. If three balls are drawn randomly without replacement then find the probability of getting utmost one colour ? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A bag contain 6 blue, 4 red, and 5 green balls. If three balls are drawn randomly without replacement then find the probability of getting utmost one colour ? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contain 6 blue, 4 red, and 5 green balls. If three balls are drawn randomly without replacement then find the probability of getting utmost one colour ?.
A bag contain 6 blue, 4 red, and 5 green balls. If three balls are drawn randomly without replacement then find the probability of getting utmost one colour ? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A bag contain 6 blue, 4 red, and 5 green balls. If three balls are drawn randomly without replacement then find the probability of getting utmost one colour ? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contain 6 blue, 4 red, and 5 green balls. If three balls are drawn randomly without replacement then find the probability of getting utmost one colour ?.
Solutions for A bag contain 6 blue, 4 red, and 5 green balls. If three balls are drawn randomly without replacement then find the probability of getting utmost one colour ? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A bag contain 6 blue, 4 red, and 5 green balls. If three balls are drawn randomly without replacement then find the probability of getting utmost one colour ? defined & explained in the simplest way possible. Besides giving the explanation of
A bag contain 6 blue, 4 red, and 5 green balls. If three balls are drawn randomly without replacement then find the probability of getting utmost one colour ?, a detailed solution for A bag contain 6 blue, 4 red, and 5 green balls. If three balls are drawn randomly without replacement then find the probability of getting utmost one colour ? has been provided alongside types of A bag contain 6 blue, 4 red, and 5 green balls. If three balls are drawn randomly without replacement then find the probability of getting utmost one colour ? theory, EduRev gives you an
ample number of questions to practice A bag contain 6 blue, 4 red, and 5 green balls. If three balls are drawn randomly without replacement then find the probability of getting utmost one colour ? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup