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Assertion & Reason Test: Probability - Class 10 MCQ


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8 Questions MCQ Test Mathematics (Maths) Class 10 - Assertion & Reason Test: Probability

Assertion & Reason Test: Probability for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation. The Assertion & Reason Test: Probability questions and answers have been prepared according to the Class 10 exam syllabus.The Assertion & Reason Test: Probability MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Assertion & Reason Test: Probability below.
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Assertion & Reason Test: Probability - Question 1

Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:

Assertion: If a box contains 5 white, 2 red and 4 black marbles, then the probability of not drawing a white marble from the box is 5/11.

Reason: P (E) = 1 - P(E), where E is any evnet.

Detailed Solution for Assertion & Reason Test: Probability - Question 1
Assertion (A) is false but reason (R) is true. Assertion is not correct, but the reason is correct.

Assertion & Reason Test: Probability - Question 2

Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:

Assertion : If P (A) = 0.25, P (B) = 0.50 and P (A ∩ B) = 0.14, then the probability that neither A nor B occurs is 0.39.

Reason:

Detailed Solution for Assertion & Reason Test: Probability - Question 2
P(Ac ∩ Bc) = 1 - P(A ∪ B)

= 1 - [0.25 + 0.5 - 0.14]

= 0.39

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Assertion & Reason Test: Probability - Question 3

Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:

Assertion : An event is very unlikely to happen. Its probability is 0.0001

Reason : If P(A) denotes the probability of an event A, then 0 ≤ P (A) ≤ 1.

Detailed Solution for Assertion & Reason Test: Probability - Question 3
Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
Assertion & Reason Test: Probability - Question 4

Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:

Assertion : If a die is thrown, the probability of getting a number less than 3 and greater than 2 is zero.

Reason : Probability of an impossible event is zero.

Detailed Solution for Assertion & Reason Test: Probability - Question 4
Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Both statements are correct. Event given in Assertion is an impossible event.
Assertion & Reason Test: Probability - Question 5

Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:

Assertion: If A and B are two independent events and it is given that P (A) = 2/5, P(B) = 3/5, then P (A ∩ B) = 6/25.

Reason : P (A ∩ B) = P (A) • P(B), where A and B are two independent events.

Detailed Solution for Assertion & Reason Test: Probability - Question 5
Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Both assertion and reason are correct. Also, reason is the correct explanation of the assertion.

Assertion & Reason Test: Probability - Question 6

Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:

Assertion : in rolling a dice, the probability of getting number 8 is zero.

Reason : It's an impossible event.

Detailed Solution for Assertion & Reason Test: Probability - Question 6
Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Assertion and Reason both are correct. Also Reason is the correct explanation of the Assertion.
Assertion & Reason Test: Probability - Question 7

Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:

Assertion: The probability of getting a prime number. When a die is thrown once is 2/3.

Reason : Prime numbers on a die are 2, 3, 5.

Detailed Solution for Assertion & Reason Test: Probability - Question 7
Assertion (A) is false but reason (R) is true. When a die is thrown once, total possible outcomes = 6

and the prime numbers in it are {2,3,5}.

Total possible outcomes = 3

Probability of getting a prime = 3/6 = 1/2.

Assertion & Reason Test: Probability - Question 8

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.

Detailed Solution for Assertion & Reason Test: Probability - Question 8

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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