CA Foundation Exam > CA Foundation Questions > If two events A and B are mutually exclusive,...
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If two events A and B are mutually exclusive, then
- a)They are always independent
- b)They may be independent
- c)They can not be independent
- d)They can not be equally likely
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If two events A and B are mutually exclusive, thena)They are always in...
Mutually Exclusive Events
Mutually exclusive events are those events that cannot occur at the same time. For example, if we toss a coin, the outcome can either be heads or tails, but not both at the same time. So, the events of getting a head and getting a tail are mutually exclusive.
Independent Events
Independent events are those events that do not affect each other's outcomes. For example, if we toss a coin twice, the outcome of the first toss will not affect the outcome of the second toss. So, the events of getting a head on the first toss and getting a head on the second toss are independent.
Relation between Mutually Exclusive and Independent Events
If two events A and B are mutually exclusive, it means that they cannot occur at the same time. So, the occurrence of one event will exclude the occurrence of the other event. In such a case, the events cannot be independent because the occurrence of one event affects the occurrence of the other event.
For example, if we toss a coin and roll a die, the events of getting a head and getting a 1 are mutually exclusive because they cannot occur at the same time. If we know that we have got a head, then the probability of getting a 1 on the die becomes zero. So, the events of getting a head and getting a 1 in this case are not independent.
Correct Answer
Therefore, the correct answer is option 'C' - they cannot be independent.
Mutually exclusive events are those events that cannot occur at the same time. For example, if we toss a coin, the outcome can either be heads or tails, but not both at the same time. So, the events of getting a head and getting a tail are mutually exclusive.
Independent Events
Independent events are those events that do not affect each other's outcomes. For example, if we toss a coin twice, the outcome of the first toss will not affect the outcome of the second toss. So, the events of getting a head on the first toss and getting a head on the second toss are independent.
Relation between Mutually Exclusive and Independent Events
If two events A and B are mutually exclusive, it means that they cannot occur at the same time. So, the occurrence of one event will exclude the occurrence of the other event. In such a case, the events cannot be independent because the occurrence of one event affects the occurrence of the other event.
For example, if we toss a coin and roll a die, the events of getting a head and getting a 1 are mutually exclusive because they cannot occur at the same time. If we know that we have got a head, then the probability of getting a 1 on the die becomes zero. So, the events of getting a head and getting a 1 in this case are not independent.
Correct Answer
Therefore, the correct answer is option 'C' - they cannot be independent.
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Community Answer
If two events A and B are mutually exclusive, thena)They are always in...
If events are mutually exclusive then both of the events can not occur together. For example_ when tossing a coin we will get one head or tail we dont get both.
and,if events are independent then the occurence of one coin will not affect the occurence of second. For example_ if we get head ,while tossing a coin, then getting a tail in second toss will not affect the occurence of head.
So,as they both are different things so if A and B are mutually exclusive then they can't be independent and if they both are independent then they can't be mutually exclusive.
and,if events are independent then the occurence of one coin will not affect the occurence of second. For example_ if we get head ,while tossing a coin, then getting a tail in second toss will not affect the occurence of head.
So,as they both are different things so if A and B are mutually exclusive then they can't be independent and if they both are independent then they can't be mutually exclusive.
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If two events A and B are mutually exclusive, thena)They are always independentb)They may be independentc)They can not be independentd)They can not be equally likelyCorrect answer is option 'C'. Can you explain this answer?
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If two events A and B are mutually exclusive, thena)They are always independentb)They may be independentc)They can not be independentd)They can not be equally likelyCorrect answer is option 'C'. 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 two events A and B are mutually exclusive, thena)They are always independentb)They may be independentc)They can not be independentd)They can not be equally likelyCorrect answer is option 'C'. 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 two events A and B are mutually exclusive, thena)They are always independentb)They may be independentc)They can not be independentd)They can not be equally likelyCorrect answer is option 'C'. Can you explain this answer?.
If two events A and B are mutually exclusive, thena)They are always independentb)They may be independentc)They can not be independentd)They can not be equally likelyCorrect answer is option 'C'. 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 two events A and B are mutually exclusive, thena)They are always independentb)They may be independentc)They can not be independentd)They can not be equally likelyCorrect answer is option 'C'. 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 two events A and B are mutually exclusive, thena)They are always independentb)They may be independentc)They can not be independentd)They can not be equally likelyCorrect answer is option 'C'. Can you explain this answer?.
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