Defence Exam > Defence Questions > Consider events A, B, C, D, E o f the sample ...
Start Learning for Free
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.
C and E are
- a)Mutually exclusive events but not elementary events
- b)Exhaustive events but not mutually exclusive events
- c)Mutually exclusive and exhaustive events
- d)Elementary and mutually exclusive events
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Consider events A, B, C, D, E o f the sample space S = { n : n is an i...
C and E are mutually exclusive and elementary events.
Most Upvoted Answer
Consider events A, B, C, D, E o f the sample space S = { n : n is an i...
Since the question is incomplete, I will assume that the sample space S is defined as S = {n : n is an integer such that 10 ≤ n ≤ 100}.
Event A: The event that the number ends with a 2.
Event B: The event that the number ends with a 5.
Event C: The event that the number is divisible by 3.
Event D: The event that the number is divisible by 4.
Event E: The event that the number is divisible by 5.
Now, we can calculate the probabilities of each event:
P(A) = (number of integers in S that end with 2) / (total number of integers in S)
= (number of integers from 10 to 100 that end with 2) / 91
= 10 / 91
P(B) = (number of integers in S that end with 5) / (total number of integers in S)
= (number of integers from 10 to 100 that end with 5) / 91
= 10 / 91
P(C) = (number of integers in S that are divisible by 3) / (total number of integers in S)
= (number of integers from 10 to 100 that are divisible by 3) / 91
= 31 / 91
P(D) = (number of integers in S that are divisible by 4) / (total number of integers in S)
= (number of integers from 10 to 100 that are divisible by 4) / 91
= 22 / 91
P(E) = (number of integers in S that are divisible by 5) / (total number of integers in S)
= (number of integers from 10 to 100 that are divisible by 5) / 91
= 19 / 91
Note: The calculations above assume that the range of integers is inclusive, meaning that both 10 and 100 are included in the sample space.
Event A: The event that the number ends with a 2.
Event B: The event that the number ends with a 5.
Event C: The event that the number is divisible by 3.
Event D: The event that the number is divisible by 4.
Event E: The event that the number is divisible by 5.
Now, we can calculate the probabilities of each event:
P(A) = (number of integers in S that end with 2) / (total number of integers in S)
= (number of integers from 10 to 100 that end with 2) / 91
= 10 / 91
P(B) = (number of integers in S that end with 5) / (total number of integers in S)
= (number of integers from 10 to 100 that end with 5) / 91
= 10 / 91
P(C) = (number of integers in S that are divisible by 3) / (total number of integers in S)
= (number of integers from 10 to 100 that are divisible by 3) / 91
= 31 / 91
P(D) = (number of integers in S that are divisible by 4) / (total number of integers in S)
= (number of integers from 10 to 100 that are divisible by 4) / 91
= 22 / 91
P(E) = (number of integers in S that are divisible by 5) / (total number of integers in S)
= (number of integers from 10 to 100 that are divisible by 5) / 91
= 19 / 91
Note: The calculations above assume that the range of integers is inclusive, meaning that both 10 and 100 are included in the sample space.
|
Explore Courses for Defence exam
|
|
Similar Defence Doubts
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.C and E area)Mutually exclusive events but not elementary eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary and mutually exclusive eventsCorrect answer is option 'A'. Can you explain this answer?
Question Description
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.C and E area)Mutually exclusive events but not elementary eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary and mutually exclusive 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.C and E area)Mutually exclusive events but not elementary eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary and mutually exclusive 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.C and E area)Mutually exclusive events but not elementary eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary and mutually exclusive 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.C and E area)Mutually exclusive events but not elementary eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary and mutually exclusive 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.C and E area)Mutually exclusive events but not elementary eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary and mutually exclusive 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.C and E area)Mutually exclusive events but not elementary eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary and mutually exclusive eventsCorrect answer is option 'A'. Can you explain this answer?.
Solutions 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.C and E area)Mutually exclusive events but not elementary eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary and mutually exclusive eventsCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning 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.C and E area)Mutually exclusive events but not elementary eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary and mutually exclusive eventsCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation 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.C and E area)Mutually exclusive events but not elementary eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary and mutually exclusive 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.C and E area)Mutually exclusive events but not elementary eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary and mutually exclusive 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.C and E area)Mutually exclusive events but not elementary eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary and mutually exclusive 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.C and E area)Mutually exclusive events but not elementary eventsb)Exhaustive events but not mutually exclusive eventsc)Mutually exclusive and exhaustive eventsd)Elementary and mutually exclusive eventsCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Defence tests.
|
|
Explore Courses for Defence exam
|
|
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