JEE Exam  >  JEE Questions  >  If the probability of solving a problem by th... Start Learning for Free
If the probability of solving a problem by three students are 1/2, 2/3 and 1/4 then probability that the problem will be solved-
[AIEEE 2002]
  • a)
    1/2
  • b)
    3/4
  • c)
    7/8
  • d)
    1/8
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the probability of solving a problem by three students are 1/2, 2/3...
View all questions of this test
Most Upvoted Answer
If the probability of solving a problem by three students are 1/2, 2/3...
Probability of the problem being solved

= 1 - (probability of the problem not being solved)

= 1 - (1-½)(1-⅔)(1-¼)

= 7/8
Free Test
Community Answer
If the probability of solving a problem by three students are 1/2, 2/3...
Solution:

Given probabilities:
- Student 1: 1/2
- Student 2: 2/3
- Student 3: 1/4

Probability that the problem will be solved:
- The problem will be solved if at least one of the students solves it.

Probability that none of the students solve the problem:
- Probability = (1 - 1/2) * (1 - 2/3) * (1 - 1/4)
- Probability = 1/2 * 1/3 * 3/4
- Probability = 1/8

Probability that the problem will be solved:
- Probability = 1 - Probability that none of the students solve the problem
- Probability = 1 - 1/8
- Probability = 7/8
Therefore, the probability that the problem will be solved is 7/8. So, the correct answer is option 'C'.
Explore Courses for JEE exam
If the probability of solving a problem by three students are 1/2, 2/3 and 1/4 then probability that the problem will be solved-[AIEEE 2002]a)1/2b)3/4c)7/8d)1/8Correct answer is option 'C'. Can you explain this answer?
Question Description
If the probability of solving a problem by three students are 1/2, 2/3 and 1/4 then probability that the problem will be solved-[AIEEE 2002]a)1/2b)3/4c)7/8d)1/8Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If the probability of solving a problem by three students are 1/2, 2/3 and 1/4 then probability that the problem will be solved-[AIEEE 2002]a)1/2b)3/4c)7/8d)1/8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the probability of solving a problem by three students are 1/2, 2/3 and 1/4 then probability that the problem will be solved-[AIEEE 2002]a)1/2b)3/4c)7/8d)1/8Correct answer is option 'C'. Can you explain this answer?.
Solutions for If the probability of solving a problem by three students are 1/2, 2/3 and 1/4 then probability that the problem will be solved-[AIEEE 2002]a)1/2b)3/4c)7/8d)1/8Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of If the probability of solving a problem by three students are 1/2, 2/3 and 1/4 then probability that the problem will be solved-[AIEEE 2002]a)1/2b)3/4c)7/8d)1/8Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If the probability of solving a problem by three students are 1/2, 2/3 and 1/4 then probability that the problem will be solved-[AIEEE 2002]a)1/2b)3/4c)7/8d)1/8Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If the probability of solving a problem by three students are 1/2, 2/3 and 1/4 then probability that the problem will be solved-[AIEEE 2002]a)1/2b)3/4c)7/8d)1/8Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If the probability of solving a problem by three students are 1/2, 2/3 and 1/4 then probability that the problem will be solved-[AIEEE 2002]a)1/2b)3/4c)7/8d)1/8Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If the probability of solving a problem by three students are 1/2, 2/3 and 1/4 then probability that the problem will be solved-[AIEEE 2002]a)1/2b)3/4c)7/8d)1/8Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

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