CA Foundation Exam > CA Foundation Questions > A problem in probability was given to three C...
Start Learning for Free
A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?
- a)4/15
- b)7/8
- c)8/15
- d)11/15
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A problem in probability was given to three CA students A, B and C who...
Solution:
Given probabilities of solving the problem by A, B and C are 1/3, 1/5 and 1/2 respectively.
Let P(A), P(B) and P(C) be the probabilities of solving the problem by A, B and C respectively.
Then, the probability of the problem being solved is given by the formula:
P(A) + P(B) + P(C) - P(A and B) - P(B and C) - P(C and A) + P(A and B and C)
Where P(A and B) represents the probability of solving the problem by both A and B, P(B and C) represents the probability of solving the problem by both B and C, and so on.
Now, let's calculate each of these probabilities:
P(A) = 1/3
P(B) = 1/5
P(C) = 1/2
P(A and B) = P(A) × P(B) = 1/3 × 1/5 = 1/15
P(B and C) = P(B) × P(C) = 1/5 × 1/2 = 1/10
P(C and A) = P(C) × P(A) = 1/2 × 1/3 = 1/6
P(A and B and C) = P(A) × P(B) × P(C) = 1/3 × 1/5 × 1/2 = 1/30
Substituting these values in the formula, we get:
P(solving the problem) = P(A) + P(B) + P(C) - P(A and B) - P(B and C) - P(C and A) + P(A and B and C)
= 1/3 + 1/5 + 1/2 - 1/15 - 1/10 - 1/6 + 1/30
= 11/30
Therefore, the probability of solving the problem is 11/15.
Hence, the correct answer is option D.
Given probabilities of solving the problem by A, B and C are 1/3, 1/5 and 1/2 respectively.
Let P(A), P(B) and P(C) be the probabilities of solving the problem by A, B and C respectively.
Then, the probability of the problem being solved is given by the formula:
P(A) + P(B) + P(C) - P(A and B) - P(B and C) - P(C and A) + P(A and B and C)
Where P(A and B) represents the probability of solving the problem by both A and B, P(B and C) represents the probability of solving the problem by both B and C, and so on.
Now, let's calculate each of these probabilities:
P(A) = 1/3
P(B) = 1/5
P(C) = 1/2
P(A and B) = P(A) × P(B) = 1/3 × 1/5 = 1/15
P(B and C) = P(B) × P(C) = 1/5 × 1/2 = 1/10
P(C and A) = P(C) × P(A) = 1/2 × 1/3 = 1/6
P(A and B and C) = P(A) × P(B) × P(C) = 1/3 × 1/5 × 1/2 = 1/30
Substituting these values in the formula, we get:
P(solving the problem) = P(A) + P(B) + P(C) - P(A and B) - P(B and C) - P(C and A) + P(A and B and C)
= 1/3 + 1/5 + 1/2 - 1/15 - 1/10 - 1/6 + 1/30
= 11/30
Therefore, the probability of solving the problem is 11/15.
Hence, the correct answer is option D.
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?a)4/15b)7/8c)8/15d)11/15Correct answer is option 'D'. Can you explain this answer?
Question Description
A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?a)4/15b)7/8c)8/15d)11/15Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?a)4/15b)7/8c)8/15d)11/15Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?a)4/15b)7/8c)8/15d)11/15Correct answer is option 'D'. Can you explain this answer?.
A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?a)4/15b)7/8c)8/15d)11/15Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?a)4/15b)7/8c)8/15d)11/15Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?a)4/15b)7/8c)8/15d)11/15Correct answer is option 'D'. Can you explain this answer?.
Solutions for A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?a)4/15b)7/8c)8/15d)11/15Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?a)4/15b)7/8c)8/15d)11/15Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?a)4/15b)7/8c)8/15d)11/15Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?a)4/15b)7/8c)8/15d)11/15Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?a)4/15b)7/8c)8/15d)11/15Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?a)4/15b)7/8c)8/15d)11/15Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation 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