CA Foundation Exam > CA Foundation Questions > If the probability of a horse A winning a rac...
Start Learning for Free
If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 , What is the probability that none of them will win
- a)5/12
- b)7/12
- c)1/12
- d)none
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If the probability of a horse A winning a race is 1/6 and the probabil...
Solution:
To find the probability that none of the horses will win, we need to find the probability that both horses will lose.
Let P(A) be the probability of horse A winning and P(B) be the probability of horse B winning.
The probability of both horses losing is given by:
P(¬A ∧ ¬B) = P(¬A) × P(¬B)
where ¬A means "not A" or "A losing" and similarly for ¬B.
Given that P(A) = 1/6 and P(B) = 1/4, we can calculate P(¬A) and P(¬B) as follows:
P(¬A) = 1 - P(A) = 1 - 1/6 = 5/6
P(¬B) = 1 - P(B) = 1 - 1/4 = 3/4
Therefore, the probability of both horses losing is:
P(¬A ∧ ¬B) = P(¬A) × P(¬B) = (5/6) × (3/4) = 15/24 = 5/8
But we need to find the probability that none of the horses will win, which is the same as the probability that both horses will lose. Therefore, the answer is:
P(¬A ∧ ¬B) = 5/8 = 7/12 (option 'B')
Hence, the correct answer is option 'B'.
To find the probability that none of the horses will win, we need to find the probability that both horses will lose.
Let P(A) be the probability of horse A winning and P(B) be the probability of horse B winning.
The probability of both horses losing is given by:
P(¬A ∧ ¬B) = P(¬A) × P(¬B)
where ¬A means "not A" or "A losing" and similarly for ¬B.
Given that P(A) = 1/6 and P(B) = 1/4, we can calculate P(¬A) and P(¬B) as follows:
P(¬A) = 1 - P(A) = 1 - 1/6 = 5/6
P(¬B) = 1 - P(B) = 1 - 1/4 = 3/4
Therefore, the probability of both horses losing is:
P(¬A ∧ ¬B) = P(¬A) × P(¬B) = (5/6) × (3/4) = 15/24 = 5/8
But we need to find the probability that none of the horses will win, which is the same as the probability that both horses will lose. Therefore, the answer is:
P(¬A ∧ ¬B) = 5/8 = 7/12 (option 'B')
Hence, the correct answer is option 'B'.
Free Test
| FREE | Start Free Test |
Community Answer
If the probability of a horse A winning a race is 1/6 and the probabil...
1-(1/6+1/4)=1-(5/12)=7/12
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
If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 , What is the probability that none of them will wina)5/12b)7/12c)1/12d)noneCorrect answer is option 'B'. Can you explain this answer?
Question Description
If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 , What is the probability that none of them will wina)5/12b)7/12c)1/12d)noneCorrect answer is option 'B'. 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 If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 , What is the probability that none of them will wina)5/12b)7/12c)1/12d)noneCorrect answer is option 'B'. 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 If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 , What is the probability that none of them will wina)5/12b)7/12c)1/12d)noneCorrect answer is option 'B'. Can you explain this answer?.
If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 , What is the probability that none of them will wina)5/12b)7/12c)1/12d)noneCorrect answer is option 'B'. 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 If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 , What is the probability that none of them will wina)5/12b)7/12c)1/12d)noneCorrect answer is option 'B'. 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 If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 , What is the probability that none of them will wina)5/12b)7/12c)1/12d)noneCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 , What is the probability that none of them will wina)5/12b)7/12c)1/12d)noneCorrect answer is option 'B'. 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 If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 , What is the probability that none of them will wina)5/12b)7/12c)1/12d)noneCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 , What is the probability that none of them will wina)5/12b)7/12c)1/12d)noneCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 , What is the probability that none of them will wina)5/12b)7/12c)1/12d)noneCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 , What is the probability that none of them will wina)5/12b)7/12c)1/12d)noneCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 , What is the probability that none of them will wina)5/12b)7/12c)1/12d)noneCorrect answer is option 'B'. 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup