Class 10 Exam > Class 10 Questions > Directions : In the following questions, A s...
Start Learning for Free
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): The probability that a number selected at random from the number 1, 2, 3, ......., 15 is a multiple of 4, is 1/3.
Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4.
- a)Both A and R are true and R is the correct explanation of A
- b)Both A and R are true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false and R is True
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Directions : In the following questions, A statement of Assertion (A)...
In case of assertion
View all questions of this test
n(S) = 15
n(A) = 3
p(A) = n(A)/n(S) = 3/15 = 1/5.
∴ Assertion is incorrect.
In case of reason:
S = HH, HT, TH, TT
A = HH, HT, TH
n(S) = 4
n(A) = 3
∴ p(A) = n(A)/n(S) = 3/4.
∴ Reason is correct:
Hence, the assertion is incorrect but the reason is correct.
Most Upvoted Answer
Directions : In the following questions, A statement of Assertion (A)...
Assertion (A): The probability that a number selected at random from the numbers 1, 2, 3, ......., 15 is a multiple of 4, is 1/3.
Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4.
To evaluate the given assertion and reason, let's break down the problem into two parts and examine each part individually.
Part 1: Probability of selecting a multiple of 4 from the numbers 1 to 15
To find the probability of selecting a multiple of 4 from the numbers 1 to 15, we need to determine the number of multiples of 4 in this range and divide it by the total number of numbers in the range.
The multiples of 4 in the range 1 to 15 are 4, 8, 12, and 15. Therefore, there are 4 multiples of 4.
The total number of numbers in the range 1 to 15 is 15.
Therefore, the probability of selecting a multiple of 4 from the numbers 1 to 15 is 4/15, not 1/3 as stated in the assertion (A).
Part 2: Probability of getting at least one head when two different coins are tossed simultaneously
When two different coins are tossed simultaneously, there are four possible outcomes: HH, HT, TH, and TT.
Out of these four outcomes, three outcomes have at least one head (HH, HT, TH).
Therefore, the probability of getting at least one head when two different coins are tossed simultaneously is 3/4, which matches the reason (R) stated.
Evaluating the assertion and reason
From the analysis of the individual parts, it is clear that the assertion (A) is false while the reason (R) is true. Hence, the correct answer is option D: A is false and R is true.
Summary:
- The probability of selecting a multiple of 4 from the numbers 1 to 15 is 4/15, not 1/3 as stated in the assertion (A).
- The probability of getting at least one head when two different coins are tossed simultaneously is indeed 3/4, matching the reason (R) stated.
- Therefore, the assertion (A) is false and the reason (R) is true.
Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4.
To evaluate the given assertion and reason, let's break down the problem into two parts and examine each part individually.
Part 1: Probability of selecting a multiple of 4 from the numbers 1 to 15
To find the probability of selecting a multiple of 4 from the numbers 1 to 15, we need to determine the number of multiples of 4 in this range and divide it by the total number of numbers in the range.
The multiples of 4 in the range 1 to 15 are 4, 8, 12, and 15. Therefore, there are 4 multiples of 4.
The total number of numbers in the range 1 to 15 is 15.
Therefore, the probability of selecting a multiple of 4 from the numbers 1 to 15 is 4/15, not 1/3 as stated in the assertion (A).
Part 2: Probability of getting at least one head when two different coins are tossed simultaneously
When two different coins are tossed simultaneously, there are four possible outcomes: HH, HT, TH, and TT.
Out of these four outcomes, three outcomes have at least one head (HH, HT, TH).
Therefore, the probability of getting at least one head when two different coins are tossed simultaneously is 3/4, which matches the reason (R) stated.
Evaluating the assertion and reason
From the analysis of the individual parts, it is clear that the assertion (A) is false while the reason (R) is true. Hence, the correct answer is option D: A is false and R is true.
Summary:
- The probability of selecting a multiple of 4 from the numbers 1 to 15 is 4/15, not 1/3 as stated in the assertion (A).
- The probability of getting at least one head when two different coins are tossed simultaneously is indeed 3/4, matching the reason (R) stated.
- Therefore, the assertion (A) is false and the reason (R) is true.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The probability that a number selected at random from the number 1, 2, 3, ......., 15 is a multiple of 4, is 1/3.Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer?
Question Description
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The probability that a number selected at random from the number 1, 2, 3, ......., 15 is a multiple of 4, is 1/3.Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The probability that a number selected at random from the number 1, 2, 3, ......., 15 is a multiple of 4, is 1/3.Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The probability that a number selected at random from the number 1, 2, 3, ......., 15 is a multiple of 4, is 1/3.Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer?.
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The probability that a number selected at random from the number 1, 2, 3, ......., 15 is a multiple of 4, is 1/3.Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The probability that a number selected at random from the number 1, 2, 3, ......., 15 is a multiple of 4, is 1/3.Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The probability that a number selected at random from the number 1, 2, 3, ......., 15 is a multiple of 4, is 1/3.Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The probability that a number selected at random from the number 1, 2, 3, ......., 15 is a multiple of 4, is 1/3.Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The probability that a number selected at random from the number 1, 2, 3, ......., 15 is a multiple of 4, is 1/3.Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The probability that a number selected at random from the number 1, 2, 3, ......., 15 is a multiple of 4, is 1/3.Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The probability that a number selected at random from the number 1, 2, 3, ......., 15 is a multiple of 4, is 1/3.Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The probability that a number selected at random from the number 1, 2, 3, ......., 15 is a multiple of 4, is 1/3.Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The probability that a number selected at random from the number 1, 2, 3, ......., 15 is a multiple of 4, is 1/3.Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup