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): If P(F) = 0.20, then the probability of ‘not E’ is 0.80.
Reason (R): If two dice are thrown together, then the probability of getting a doublet is 5/6.
  • 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 'C'. Can you explain this answer?
Verified Answer
Directions : In the following questions, A statement of Assertion (A)...
In case of assertion
P(E) = 0.20
∴ P(not E) = 1 – P(E)
= 1 – 0.20
= 0.80
∴ Assertion is correct.
In case of reason:
Total number of possible outcomes = 62 = 36
E : (doublets are (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)
No. of favourable outcomes to E = 6
∴ P(a doublet)
= Number of outcomes favourable to E/Total number of outcomes
= 6/36 = 1/6
∴ Reason is incorrect:
Hence, the assertion is correct but the reason is incorrect.
View all questions of this test
Most Upvoted Answer
Directions : In the following questions, A statement of Assertion (A)...
Assertion (A): If P(F) = 0.20, then the probability of 'not E' is 0.80.

Reason (R): If two dice are thrown together, then the probability of getting a doublet is 5/6.

To determine whether the given assertion and reason are true or false, let's analyze each statement separately.

Assertion (A): If P(F) = 0.20, then the probability of 'not E' is 0.80.

This statement is false. The probability of the complement of an event E, denoted as P(not E), is equal to 1 minus the probability of event E. Therefore, if P(F) = 0.20, it does not imply that P(not E) is 0.80.

Reason (R): If two dice are thrown together, then the probability of getting a doublet is 5/6.

This statement is false. To calculate the probability of getting a doublet when two dice are thrown, we need to determine the number of favorable outcomes (getting the same number on both dice) and the total number of possible outcomes.

The total number of possible outcomes when two dice are thrown is 6 * 6 = 36 (as each die has 6 faces).

The number of favorable outcomes (getting the same number on both dice) is 6 (1,1 / 2,2 / 3,3 / 4,4 / 5,5 / 6,6).

Therefore, the probability of getting a doublet is 6/36 = 1/6, not 5/6.

Conclusion:
Based on the analysis, we can conclude that both the assertion and reason are false. Hence, the correct option is (d) A is false and 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

Top Courses for Class 10

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): If P(F) = 0.20, then the probability of ‘not E’ is 0.80.Reason (R): If two dice are thrown together, then the probability of getting a doublet is 5/6.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 'C'. 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): If P(F) = 0.20, then the probability of ‘not E’ is 0.80.Reason (R): If two dice are thrown together, then the probability of getting a doublet is 5/6.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 'C'. 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): If P(F) = 0.20, then the probability of ‘not E’ is 0.80.Reason (R): If two dice are thrown together, then the probability of getting a doublet is 5/6.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 'C'. 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): If P(F) = 0.20, then the probability of ‘not E’ is 0.80.Reason (R): If two dice are thrown together, then the probability of getting a doublet is 5/6.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 'C'. 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): If P(F) = 0.20, then the probability of ‘not E’ is 0.80.Reason (R): If two dice are thrown together, then the probability of getting a doublet is 5/6.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 'C'. 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): If P(F) = 0.20, then the probability of ‘not E’ is 0.80.Reason (R): If two dice are thrown together, then the probability of getting a doublet is 5/6.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 'C'. 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): If P(F) = 0.20, then the probability of ‘not E’ is 0.80.Reason (R): If two dice are thrown together, then the probability of getting a doublet is 5/6.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 'C'. 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): If P(F) = 0.20, then the probability of ‘not E’ is 0.80.Reason (R): If two dice are thrown together, then the probability of getting a doublet is 5/6.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 'C'. 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): If P(F) = 0.20, then the probability of ‘not E’ is 0.80.Reason (R): If two dice are thrown together, then the probability of getting a doublet is 5/6.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 'C'. 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): If P(F) = 0.20, then the probability of ‘not E’ is 0.80.Reason (R): If two dice are thrown together, then the probability of getting a doublet is 5/6.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 'C'. Can you explain this answer? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev