UPSC Exam  >  UPSC Questions  >  There are 4 orange balls, 5 blue balls and 3 ... Start Learning for Free
There are 4 orange balls, 5 blue balls and 3 white balls are there in a bag. Two balls are selected at random. What is the probability of getting both the balls being blue?
  • a)
    5/33
  • b)
    3/33
  • c)
    3/11
  • d)
    3/5
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
There are 4 orange balls, 5 blue balls and 3 white balls are there in ...
Given information:
- 4 orange balls
- 5 blue balls
- 3 white balls
- Two balls are selected at random

To find: Probability of getting both balls being blue

Solution:
Total number of balls in the bag = 4 + 5 + 3 = 12
Number of ways to select two balls out of 12 = 12C2 = (12*11)/(2*1) = 66

Number of ways to select 2 blue balls out of 5 = 5C2 = (5*4)/(2*1) = 10

Therefore, the probability of getting both balls being blue = (Number of ways to select 2 blue balls out of 5) / (Number of ways to select two balls out of 12) = 10/66 = 5/33

Therefore, the correct option is (a) 5/33.

HTML Code:

Given information:


  • 4 orange balls

  • 5 blue balls

  • 3 white balls

  • Two balls are selected at random



To find:

Probability of getting both balls being blue


Solution:

Total number of balls in the bag = 4 + 5 + 3 = 12

Number of ways to select two balls out of 12 = 12C2 = (12*11)/(2*1) = 66

Number of ways to select 2 blue balls out of 5 = 5C2 = (5*4)/(2*1) = 10

Therefore, the probability of getting both balls being blue = (Number of ways to select 2 blue balls out of 5) / (Number of ways to select two balls out of 12) = 10/66 = 5/33


Therefore, the correct option is (a) 5/33.
Free Test
Community Answer
There are 4 orange balls, 5 blue balls and 3 white balls are there in ...
P(B)=5c2/12c2
=10/66
hence,p(B)=5/33
Explore Courses for UPSC exam

Top Courses for UPSC

There are 4 orange balls, 5 blue balls and 3 white balls are there in a bag. Two balls are selected at random. What is the probability of getting both the balls being blue?a)5/33b)3/33c)3/11d)3/5Correct answer is option 'A'. Can you explain this answer?
Question Description
There are 4 orange balls, 5 blue balls and 3 white balls are there in a bag. Two balls are selected at random. What is the probability of getting both the balls being blue?a)5/33b)3/33c)3/11d)3/5Correct answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There are 4 orange balls, 5 blue balls and 3 white balls are there in a bag. Two balls are selected at random. What is the probability of getting both the balls being blue?a)5/33b)3/33c)3/11d)3/5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 4 orange balls, 5 blue balls and 3 white balls are there in a bag. Two balls are selected at random. What is the probability of getting both the balls being blue?a)5/33b)3/33c)3/11d)3/5Correct answer is option 'A'. Can you explain this answer?.
Solutions for There are 4 orange balls, 5 blue balls and 3 white balls are there in a bag. Two balls are selected at random. What is the probability of getting both the balls being blue?a)5/33b)3/33c)3/11d)3/5Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of There are 4 orange balls, 5 blue balls and 3 white balls are there in a bag. Two balls are selected at random. What is the probability of getting both the balls being blue?a)5/33b)3/33c)3/11d)3/5Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of There are 4 orange balls, 5 blue balls and 3 white balls are there in a bag. Two balls are selected at random. What is the probability of getting both the balls being blue?a)5/33b)3/33c)3/11d)3/5Correct answer is option 'A'. Can you explain this answer?, a detailed solution for There are 4 orange balls, 5 blue balls and 3 white balls are there in a bag. Two balls are selected at random. What is the probability of getting both the balls being blue?a)5/33b)3/33c)3/11d)3/5Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of There are 4 orange balls, 5 blue balls and 3 white balls are there in a bag. Two balls are selected at random. What is the probability of getting both the balls being blue?a)5/33b)3/33c)3/11d)3/5Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice There are 4 orange balls, 5 blue balls and 3 white balls are there in a bag. Two balls are selected at random. What is the probability of getting both the balls being blue?a)5/33b)3/33c)3/11d)3/5Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev