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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.
B and C are
- a)Mutually exclusive events but not exhaustive events
- b)Compound events
- c)Mutually exclusive and exhaustive events
- d)Elementary events
Correct answer is option 'A'. 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...
B and C are mutually exclusive events but not exhaustive events.
Most Upvoted Answer
Consider events A, B, C, D, E o f the sample space S = { n : n is an i...
Since the sample space S = {n : n is an integer such that 10 < n="" />< 20},="" we="" can="" write="" it="" as="" s="{11," 12,="" 13,="" 14,="" 15,="" 16,="" 17,="" 18,="" />
Event A: The number is even. A = {12, 14, 16, 18}
Event B: The number is divisible by 3. B = {12, 15, 18}
Event C: The number is prime. C = {11, 13, 17, 19}
Event D: The number is greater than 15. D = {16, 17, 18, 19}
Event E: The number is a multiple of 5. E = {15}
Now we can determine the following probabilities:
P(A) = number of outcomes in A / total number of outcomes = 4/9
P(B) = number of outcomes in B / total number of outcomes = 3/9 = 1/3
P(C) = number of outcomes in C / total number of outcomes = 4/9
P(D) = number of outcomes in D / total number of outcomes = 4/9
P(E) = number of outcomes in E / total number of outcomes = 1/9
Event A: The number is even. A = {12, 14, 16, 18}
Event B: The number is divisible by 3. B = {12, 15, 18}
Event C: The number is prime. C = {11, 13, 17, 19}
Event D: The number is greater than 15. D = {16, 17, 18, 19}
Event E: The number is a multiple of 5. E = {15}
Now we can determine the following probabilities:
P(A) = number of outcomes in A / total number of outcomes = 4/9
P(B) = number of outcomes in B / total number of outcomes = 3/9 = 1/3
P(C) = number of outcomes in C / total number of outcomes = 4/9
P(D) = number of outcomes in D / total number of outcomes = 4/9
P(E) = number of outcomes in E / total number of outcomes = 1/9
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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.B and C area)Mutually exclusive events but not exhaustive eventsb)Compound eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'A'. 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.B and C area)Mutually exclusive events but not exhaustive eventsb)Compound eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'A'. 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.B and C area)Mutually exclusive events but not exhaustive eventsb)Compound eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'A'. 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.B and C area)Mutually exclusive events but not exhaustive eventsb)Compound eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'A'. 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.B and C area)Mutually exclusive events but not exhaustive eventsb)Compound eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'A'. 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.B and C area)Mutually exclusive events but not exhaustive eventsb)Compound eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'A'. 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.B and C area)Mutually exclusive events but not exhaustive eventsb)Compound eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'A'. 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.B and C area)Mutually exclusive events but not exhaustive eventsb)Compound eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'A'. Can you explain this answer?, a detailed solution 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.B and C area)Mutually exclusive events but not exhaustive eventsb)Compound eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of 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.B and C area)Mutually exclusive events but not exhaustive eventsb)Compound eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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.B and C area)Mutually exclusive events but not exhaustive eventsb)Compound eventsc)Mutually exclusive and exhaustive eventsd)Elementary eventsCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Defence tests.
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