UPSC Exam  >  UPSC Questions  >  A bag contains tickets numbered 1 to 30. Thre... Start Learning for Free
A bag contains tickets numbered 1 to 30. Three tickets are chosen at random. Find the probability that all the tickets have two digit numbers. 
  • a)
    11/58 
  • b)
    19/58 
  • c)
    21/30 
  • d)
     2/3 
  • e)
    5/8
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A bag contains tickets numbered 1 to 30. Three tickets are chosen at r...
Calculation
- Total number of ways to choose 3 tickets out of 30 = 30C3
- Total number of ways to choose 3 two-digit tickets = 10C3 (since there are 10 two-digit numbers from 10 to 30)
- Probability = (Number of favorable outcomes) / (Total number of outcomes) = 10C3 / 30C3

Solution
- Calculate the combinations:
- 30C3 = 30! / (3! * (30-3)!) = 30 * 29 * 28 / 6 = 4060
- 10C3 = 10! / (3! * (10-3)!) = 10 * 9 * 8 / 6 = 120
- Substitute into the probability formula:
- Probability = 120 / 4060 = 19 / 58
Therefore, the probability that all three tickets chosen have two-digit numbers is 19/58, which corresponds to option 'b'.
Explore Courses for UPSC exam

Top Courses for UPSC

A bag contains tickets numbered 1 to 30. Three tickets are chosen at random. Find the probability that all the tickets have two digit numbers.a)11/58b)19/58c)21/30d)2/3e)5/8Correct answer is option 'B'. Can you explain this answer?
Question Description
A bag contains tickets numbered 1 to 30. Three tickets are chosen at random. Find the probability that all the tickets have two digit numbers.a)11/58b)19/58c)21/30d)2/3e)5/8Correct answer is option 'B'. 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 A bag contains tickets numbered 1 to 30. Three tickets are chosen at random. Find the probability that all the tickets have two digit numbers.a)11/58b)19/58c)21/30d)2/3e)5/8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains tickets numbered 1 to 30. Three tickets are chosen at random. Find the probability that all the tickets have two digit numbers.a)11/58b)19/58c)21/30d)2/3e)5/8Correct answer is option 'B'. Can you explain this answer?.
Solutions for A bag contains tickets numbered 1 to 30. Three tickets are chosen at random. Find the probability that all the tickets have two digit numbers.a)11/58b)19/58c)21/30d)2/3e)5/8Correct answer is option 'B'. 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 A bag contains tickets numbered 1 to 30. Three tickets are chosen at random. Find the probability that all the tickets have two digit numbers.a)11/58b)19/58c)21/30d)2/3e)5/8Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A bag contains tickets numbered 1 to 30. Three tickets are chosen at random. Find the probability that all the tickets have two digit numbers.a)11/58b)19/58c)21/30d)2/3e)5/8Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A bag contains tickets numbered 1 to 30. Three tickets are chosen at random. Find the probability that all the tickets have two digit numbers.a)11/58b)19/58c)21/30d)2/3e)5/8Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A bag contains tickets numbered 1 to 30. Three tickets are chosen at random. Find the probability that all the tickets have two digit numbers.a)11/58b)19/58c)21/30d)2/3e)5/8Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A bag contains tickets numbered 1 to 30. Three tickets are chosen at random. Find the probability that all the tickets have two digit numbers.a)11/58b)19/58c)21/30d)2/3e)5/8Correct answer is option 'B'. 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