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 as 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved? (a)4/5 (b)7/8 (c)8/15 (d)11/15?
Most Upvoted Answer
A problem in probability was given to three CA students A, B and C who...
Solution:
Given, the chances 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.
Therefore, P(A) = 1/3, P(B) = 1/5, P(C) = 1/2.
The probability that the problem would be solved is given by the formula:
P(solved) = P(A) + P(B) + P(C) - P(A and B) - P(B and C) - P(A and C) + P(A and B and C)
where P(A and B) represents the probability that both A and B solve the problem, and so on.
We need to find P(solved).
Calculating the probabilities of intersection:
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(A and C) = P(A) × P(C) = (1/3) × (1/2) = 1/6
P(A and B and C) = P(A) × P(B) × P(C) = (1/3) × (1/5) × (1/2) = 1/30
Substituting the values in the formula:
P(solved) = (1/3) + (1/5) + (1/2) - (1/15) - (1/10) - (1/6) + (1/30)
P(solved) = 11/15
Therefore, the probability that the problem would be solved is 11/15.
Hence, the correct option is (d) 11/15.
Given, the chances 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.
Therefore, P(A) = 1/3, P(B) = 1/5, P(C) = 1/2.
The probability that the problem would be solved is given by the formula:
P(solved) = P(A) + P(B) + P(C) - P(A and B) - P(B and C) - P(A and C) + P(A and B and C)
where P(A and B) represents the probability that both A and B solve the problem, and so on.
We need to find P(solved).
Calculating the probabilities of intersection:
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(A and C) = P(A) × P(C) = (1/3) × (1/2) = 1/6
P(A and B and C) = P(A) × P(B) × P(C) = (1/3) × (1/5) × (1/2) = 1/30
Substituting the values in the formula:
P(solved) = (1/3) + (1/5) + (1/2) - (1/15) - (1/10) - (1/6) + (1/30)
P(solved) = 11/15
Therefore, the probability that the problem would be solved is 11/15.
Hence, the correct option is (d) 11/15.
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 as 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved? (a)4/5 (b)7/8 (c)8/15 (d)11/15?
Question Description
A problem in probability was given to three CA students A, B and C whose chances of solving it as 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved? (a)4/5 (b)7/8 (c)8/15 (d)11/15? 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 as 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved? (a)4/5 (b)7/8 (c)8/15 (d)11/15? 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 as 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved? (a)4/5 (b)7/8 (c)8/15 (d)11/15?.
A problem in probability was given to three CA students A, B and C whose chances of solving it as 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved? (a)4/5 (b)7/8 (c)8/15 (d)11/15? 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 as 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved? (a)4/5 (b)7/8 (c)8/15 (d)11/15? 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 as 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved? (a)4/5 (b)7/8 (c)8/15 (d)11/15?.
Solutions for A problem in probability was given to three CA students A, B and C whose chances of solving it as 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved? (a)4/5 (b)7/8 (c)8/15 (d)11/15? 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 as 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved? (a)4/5 (b)7/8 (c)8/15 (d)11/15? 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 as 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved? (a)4/5 (b)7/8 (c)8/15 (d)11/15?, a detailed solution for A problem in probability was given to three CA students A, B and C whose chances of solving it as 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved? (a)4/5 (b)7/8 (c)8/15 (d)11/15? 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 as 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved? (a)4/5 (b)7/8 (c)8/15 (d)11/15? 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 as 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved? (a)4/5 (b)7/8 (c)8/15 (d)11/15? 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
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup