CA Foundation Exam  >  CA Foundation Questions  >  If P(A ∩ B) = 0, then the two events A ... Start Learning for Free
If P(A ∩ B) = 0, then the two events A and B are
  • a)
    Mutually exclusive
  • b)
    Exhaustive
  • c)
    Equally likely
  • d)
    Independent.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If P(A ∩ B) = 0, then the two events A and B area)Mutually exclu...
Explanation:
When we say P(A B) = 0, it means that the probability of both events A and B occurring together is zero. Based on this information, we can conclude that the two events are mutually exclusive.

Mutually Exclusive Events:
Mutually exclusive events are the events that cannot occur simultaneously. In other words, if one event occurs, the other event 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 because we cannot get both a head and a tail at the same time.

In the given question, the probability of both events A and B occurring together is zero, which means that the occurrence of one event excludes the occurrence of the other event. Therefore, we can conclude that the two events A and B are mutually exclusive.

Other options:
The other options, exhaustive, equally likely, and independent, cannot be concluded from the given information.

- Exhaustive events are the events that cover all possible outcomes. However, we do not have any information about whether A and B are exhaustive or not.
- Equally likely events are the events that have the same probability of occurring. However, we do not have any information about the probabilities of A and B.
- Independent events are the events that do not affect each other's probability of occurring. However, we do not have any information about the relationship between A and B.

Therefore, the correct answer is option 'A', mutually exclusive.
Free Test
Community Answer
If P(A ∩ B) = 0, then the two events A and B area)Mutually exclu...
A
Explore Courses for CA Foundation exam
If P(A ∩ B) = 0, then the two events A and B area)Mutually exclusiveb)Exhaustivec)Equally likelyd)Independent.Correct answer is option 'A'. Can you explain this answer?
Question Description
If P(A ∩ B) = 0, then the two events A and B area)Mutually exclusiveb)Exhaustivec)Equally likelyd)Independent.Correct answer is option 'A'. 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 P(A ∩ B) = 0, then the two events A and B area)Mutually exclusiveb)Exhaustivec)Equally likelyd)Independent.Correct answer is option 'A'. 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 P(A ∩ B) = 0, then the two events A and B area)Mutually exclusiveb)Exhaustivec)Equally likelyd)Independent.Correct answer is option 'A'. Can you explain this answer?.
Solutions for If P(A ∩ B) = 0, then the two events A and B area)Mutually exclusiveb)Exhaustivec)Equally likelyd)Independent.Correct answer is option 'A'. 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 P(A ∩ B) = 0, then the two events A and B area)Mutually exclusiveb)Exhaustivec)Equally likelyd)Independent.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If P(A ∩ B) = 0, then the two events A and B area)Mutually exclusiveb)Exhaustivec)Equally likelyd)Independent.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for If P(A ∩ B) = 0, then the two events A and B area)Mutually exclusiveb)Exhaustivec)Equally likelyd)Independent.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of If P(A ∩ B) = 0, then the two events A and B area)Mutually exclusiveb)Exhaustivec)Equally likelyd)Independent.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If P(A ∩ B) = 0, then the two events A and B area)Mutually exclusiveb)Exhaustivec)Equally likelyd)Independent.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
Explore Courses for CA Foundation exam

Top Courses for CA Foundation

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