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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): A bag contains slips numbered from 1 to 100. If Fatima chooses a slip at random from the bag, it will either be an odd number or an even number. Since this situation has only two possible outcomes, the probability of each is 1/2.
Reason (R): When we toss a coin, there are two possible outcomes: head or tail. Therefore, the probability of each outcome is 1/2.
  • 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 'B'. Can you explain this answer?
Verified Answer
Directions : In the following questions, A statement of Assertion (A)...
In case of assertion
From 1 to 100 numbers, there are 50 even and 50 odd numbers.
Total number of outcomes T(E) = 100
Number of outcomes favourable for event E (even numbers) = F(E) = 50
So, P(E) = 50/100 = 1/2
Similarly, the probability of getting odd numbers = 1/2.
Hence the probability of getting odd and even each = 1/2.
Hence, the given statement is true.
∴ Assertion is correct.
In case of reason: Since, there are two outcomes equal in all manners. So, the probability of both head and tail is equal to 1/2 each.
Hence, the given statement is true.
∴ Reason is correct:
Hence, both assertion and reason are correct but reason is not the correct explanation for assertion.
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Most Upvoted Answer
Directions : In the following questions, A statement of Assertion (A)...
Assertion (A): A bag contains slips numbered from 1 to 100. If Fatima chooses a slip at random from the bag, it will either be an odd number or an even number. Since this situation has only two possible outcomes, the probability of each is 1/2.
Reason (R): When we toss a coin, there are two possible outcomes: head or tail. Therefore, the probability of each outcome is 1/2.

Explanation:

Understanding the Assertion:
The assertion states that if Fatima chooses a slip at random from the bag, it will either be an odd number or an even number. This is because the slips in the bag are numbered from 1 to 100. All even numbers are divisible by 2, and all odd numbers are not divisible by 2. Therefore, any number chosen will either be divisible by 2 (even) or not divisible by 2 (odd).

Understanding the Reason:
The reason states that when we toss a coin, there are two possible outcomes: head or tail. This is because a coin has two sides, and when tossed, it can land either on the head side or the tail side. Therefore, the probability of each outcome (head or tail) is 1/2.

Comparison and Conclusion:
The situation described in the assertion (choosing a slip from the bag) and the situation described in the reason (tossing a coin) both have two possible outcomes. In both cases, the probability of each outcome is 1/2.

Therefore, both the assertion and reason are true. However, the reason does not provide a correct explanation for the assertion. The reason talks about tossing a coin, which is not directly related to choosing a slip from a bag. The probability of each outcome in the assertion can be determined by the fact that there are only two types of numbers in the bag: odd and even.

Hence, the correct answer is option B: Both A and R are true but R is NOT the correct explanation of A.
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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): A bag contains slips numbered from 1 to 100. If Fatima chooses a slip at random from the bag, it will either be an odd number or an even number. Since this situation has only two possible outcomes, the probability of each is 1/2.Reason (R): When we toss a coin, there are two possible outcomes: head or tail. Therefore, the probability of each outcome is 1/2.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 'B'. 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): A bag contains slips numbered from 1 to 100. If Fatima chooses a slip at random from the bag, it will either be an odd number or an even number. Since this situation has only two possible outcomes, the probability of each is 1/2.Reason (R): When we toss a coin, there are two possible outcomes: head or tail. Therefore, the probability of each outcome is 1/2.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 'B'. 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): A bag contains slips numbered from 1 to 100. If Fatima chooses a slip at random from the bag, it will either be an odd number or an even number. Since this situation has only two possible outcomes, the probability of each is 1/2.Reason (R): When we toss a coin, there are two possible outcomes: head or tail. Therefore, the probability of each outcome is 1/2.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 'B'. 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): A bag contains slips numbered from 1 to 100. If Fatima chooses a slip at random from the bag, it will either be an odd number or an even number. Since this situation has only two possible outcomes, the probability of each is 1/2.Reason (R): When we toss a coin, there are two possible outcomes: head or tail. Therefore, the probability of each outcome is 1/2.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 'B'. Can you explain this answer?.
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