CA Foundation Exam > CA Foundation Questions > For two events A and B, P(A ∪ B) = P(A)...
Start Learning for Free
For two events A and B, P(A ∪ B) = P(A) + P(A) only when
- a)A and B are equally likely events
- b)A and B are exhaustive events
- c)A and B are mutually independent
- d)A and B are mutually exclusive
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
For two events A and B, P(A ∪ B) = P(A) + P(A) only whena)A and ...
Mutually Exclusive Events
Mutually exclusive events are events that cannot occur at the same time. For example, if we toss a coin, the events of getting a head or a tail are mutually exclusive. It is impossible to get both at the same time.
Formula for Mutually Exclusive Events
The formula for probability of mutually exclusive events is:
P(A B) = P(A) + P(B)
This is because if events A and B are mutually exclusive, then we can add the probabilities of each event to get the probability of either event occurring.
Why Option D is Correct
Option D states that events A and B are mutually exclusive. Therefore, the formula for probability of mutually exclusive events applies:
P(A B) = P(A) + P(B)
However, since events A and B are mutually exclusive, P(B) = 0. Therefore, the formula simplifies to:
P(A B) = P(A)
So, the statement P(A B) = P(A) is true only when events A and B are mutually exclusive.
Mutually exclusive events are events that cannot occur at the same time. For example, if we toss a coin, the events of getting a head or a tail are mutually exclusive. It is impossible to get both at the same time.
Formula for Mutually Exclusive Events
The formula for probability of mutually exclusive events is:
P(A B) = P(A) + P(B)
This is because if events A and B are mutually exclusive, then we can add the probabilities of each event to get the probability of either event occurring.
Why Option D is Correct
Option D states that events A and B are mutually exclusive. Therefore, the formula for probability of mutually exclusive events applies:
P(A B) = P(A) + P(B)
However, since events A and B are mutually exclusive, P(B) = 0. Therefore, the formula simplifies to:
P(A B) = P(A)
So, the statement P(A B) = P(A) is true only when events A and B are mutually exclusive.
Free Test
| FREE | Start Free Test |
Community Answer
For two events A and B, P(A ∪ B) = P(A) + P(A) only whena)A and ...
Events A and B don't have a single common element [ are mutually exclusive] hence intersection of events A and B = 0 therefore union of events A and B = P(A) + P (B).
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
For two events A and B, P(A ∪ B) = P(A) + P(A) only whena)A and B are equally likely eventsb)A and B are exhaustive eventsc)A and B are mutually independentd)A and B are mutually exclusiveCorrect answer is option 'D'. Can you explain this answer?
Question Description
For two events A and B, P(A ∪ B) = P(A) + P(A) only whena)A and B are equally likely eventsb)A and B are exhaustive eventsc)A and B are mutually independentd)A and B are mutually exclusiveCorrect 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 For two events A and B, P(A ∪ B) = P(A) + P(A) only whena)A and B are equally likely eventsb)A and B are exhaustive eventsc)A and B are mutually independentd)A and B are mutually exclusiveCorrect 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 For two events A and B, P(A ∪ B) = P(A) + P(A) only whena)A and B are equally likely eventsb)A and B are exhaustive eventsc)A and B are mutually independentd)A and B are mutually exclusiveCorrect answer is option 'D'. Can you explain this answer?.
For two events A and B, P(A ∪ B) = P(A) + P(A) only whena)A and B are equally likely eventsb)A and B are exhaustive eventsc)A and B are mutually independentd)A and B are mutually exclusiveCorrect 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 For two events A and B, P(A ∪ B) = P(A) + P(A) only whena)A and B are equally likely eventsb)A and B are exhaustive eventsc)A and B are mutually independentd)A and B are mutually exclusiveCorrect 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 For two events A and B, P(A ∪ B) = P(A) + P(A) only whena)A and B are equally likely eventsb)A and B are exhaustive eventsc)A and B are mutually independentd)A and B are mutually exclusiveCorrect answer is option 'D'. Can you explain this answer?.
Solutions for For two events A and B, P(A ∪ B) = P(A) + P(A) only whena)A and B are equally likely eventsb)A and B are exhaustive eventsc)A and B are mutually independentd)A and B are mutually exclusiveCorrect 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 For two events A and B, P(A ∪ B) = P(A) + P(A) only whena)A and B are equally likely eventsb)A and B are exhaustive eventsc)A and B are mutually independentd)A and B are mutually exclusiveCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
For two events A and B, P(A ∪ B) = P(A) + P(A) only whena)A and B are equally likely eventsb)A and B are exhaustive eventsc)A and B are mutually independentd)A and B are mutually exclusiveCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for For two events A and B, P(A ∪ B) = P(A) + P(A) only whena)A and B are equally likely eventsb)A and B are exhaustive eventsc)A and B are mutually independentd)A and B are mutually exclusiveCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of For two events A and B, P(A ∪ B) = P(A) + P(A) only whena)A and B are equally likely eventsb)A and B are exhaustive eventsc)A and B are mutually independentd)A and B are mutually exclusiveCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice For two events A and B, P(A ∪ B) = P(A) + P(A) only whena)A and B are equally likely eventsb)A and B are exhaustive eventsc)A and B are mutually independentd)A and B are mutually exclusiveCorrect 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
|
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