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Consider events A, B, C, D, E o f the sample space S = { n : n is an integer such th a t 10 ≤ n ≤ 20} given by :
A is the set of all even numbers.
B is the set of all prime numbers.
C=(15).
D is the set of all integers ≤ 16
E is the set of all double digit numbers expressible as a power of 2.
A is the set of all even numbers.
B is the set of all prime numbers.
C=(15).
D is the set of all integers ≤ 16
E is the set of all double digit numbers expressible as a power of 2.
A, Band D are
- a)Mutually exclusive events but not exhaustive events
- b)Exhaustive events but not mutually exclusive events
- c)Mutually exclusive and exhaustive events
- d)Elementary events
Correct answer is option 'B'. Can you explain this answer?
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Consider events A, B, C, D, E o f the sample space S = { n : n is an i...
A, B and D are exhaustive events but not mutually exclusive events.
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Consider events A, B, C, D, E o f the sample space S = { n : n is an i...
Exhaustive Events but not Mutually Exclusive Events:
Since the events A, B, C, and D together cover all the integers in the sample space S (10 to 20) without any overlap, they are considered exhaustive events. However, A and B are not mutually exclusive because there are integers in the sample space that belong to both A (even numbers) and B (prime numbers), such as 10. Therefore, the correct classification for events A, B, C, and D is that they are exhaustive events but not mutually exclusive events.
- A is the set of all even numbers: This set includes integers such as 10, 12, 14, 16, and 20 from the sample space.
- B is the set of all prime numbers: This set includes integers such as 11, 13, 17, and 19 from the sample space.
- C = {15}: This set contains only the integer 15 from the sample space.
- D is the set of all integers ≤ 16: This set includes integers such as 10, 11, 12, 13, 14, 15, and 16 from the sample space.
Since the events A, B, C, and D together cover all the integers in the sample space S (10 to 20) without any overlap, they are considered exhaustive events. However, A and B are not mutually exclusive because there are integers in the sample space that belong to both A (even numbers) and B (prime numbers), such as 10. Therefore, the correct classification for events A, B, C, and D is that they are exhaustive events but not mutually exclusive events.
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Consider events A, B, C, D, E o f the sample space S = { n : n is an integer such th a t 10 ≤ n ≤ 20} given by :A is the set of all even numbers.B is the set of all prime numbers.C=(15).D is the set of all integers ≤ 16E is the set of all double digit numbers expressible as a power of 2.A, Band D area)Mutually exclusive events but not exhaustive eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'B'. Can you explain this answer?
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Consider events A, B, C, D, E o f the sample space S = { n : n is an integer such th a t 10 ≤ n ≤ 20} given by :A is the set of all even numbers.B is the set of all prime numbers.C=(15).D is the set of all integers ≤ 16E is the set of all double digit numbers expressible as a power of 2.A, Band D area)Mutually exclusive events but not exhaustive eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Consider events A, B, C, D, E o f the sample space S = { n : n is an integer such th a t 10 ≤ n ≤ 20} given by :A is the set of all even numbers.B is the set of all prime numbers.C=(15).D is the set of all integers ≤ 16E is the set of all double digit numbers expressible as a power of 2.A, Band D area)Mutually exclusive events but not exhaustive eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider events A, B, C, D, E o f the sample space S = { n : n is an integer such th a t 10 ≤ n ≤ 20} given by :A is the set of all even numbers.B is the set of all prime numbers.C=(15).D is the set of all integers ≤ 16E is the set of all double digit numbers expressible as a power of 2.A, Band D area)Mutually exclusive events but not exhaustive eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'B'. Can you explain this answer?.
Consider events A, B, C, D, E o f the sample space S = { n : n is an integer such th a t 10 ≤ n ≤ 20} given by :A is the set of all even numbers.B is the set of all prime numbers.C=(15).D is the set of all integers ≤ 16E is the set of all double digit numbers expressible as a power of 2.A, Band D area)Mutually exclusive events but not exhaustive eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Consider events A, B, C, D, E o f the sample space S = { n : n is an integer such th a t 10 ≤ n ≤ 20} given by :A is the set of all even numbers.B is the set of all prime numbers.C=(15).D is the set of all integers ≤ 16E is the set of all double digit numbers expressible as a power of 2.A, Band D area)Mutually exclusive events but not exhaustive eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider events A, B, C, D, E o f the sample space S = { n : n is an integer such th a t 10 ≤ n ≤ 20} given by :A is the set of all even numbers.B is the set of all prime numbers.C=(15).D is the set of all integers ≤ 16E is the set of all double digit numbers expressible as a power of 2.A, Band D area)Mutually exclusive events but not exhaustive eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'B'. Can you explain this answer?.
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