Direction: 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 A = A 1 ∪ A 2 … ∪ A n , where A 1 … A n are mutually exclusive events then Reason (R) : Given, A = A 1 ∪ A 2 ... ∪ A n Since A 1 ...A n are mutually exclusive P(A) = P(A 1 ) + P(A 2 )+ ….+P(A n )

Both A and R are true but R is NOT the correct explanation of A

Both A and R are true and R is the correct explanation of A

Both A and R are true but R is NOT the correct explanation of A

Probability- Assertion and Reason Type Questions

Test: Probability- Assertion & Reason Type Questions - 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 (A) : If A = A₁∪ A₂… ∪ A_n, where A₁… A_n are mutually exclusive events then
Reason (R) : Given, A = A₁ ∪ A₂ ... ∪ A_n
Since A₁...A_n are mutually exclusive P(A) = P(A₁) + P(A₂)+ ….+P(A_n)

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 but R is True

Test: Probability- Assertion & Reason Type Questions - 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 (A) : If A ⊂ B and B ⊂ A then, P(A) = P(B).
Reason (R) : If A ⊂ B then

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 but R is True

Detailed Solution: Question 2

Assertion (A) is correct.

A ⊂ B and B ⊂ A ⇒ A = B

Hence, P(A) = P(B).

But (R) is wrong.

Therefore,

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Test: Probability- Assertion & Reason Type Questions - 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 (A) : If A and B are two mutually exclusive events with = 5/6 and P(B) = 1/3. Then is equal to 1/4.
Reason (R) : If A and B are two events such that P(A) = 0.2, P(B) = 0.6 and P(A|B) = 0.2 then the value of

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 but R is True

Detailed Solution: Question 3

Assertion (A) is correct.

[since, given A and B are two mutually exclusive events]

Reason (R) is also correct.

For independent events,

= 0.2.

Test: Probability- Assertion & Reason Type Questions - 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 (A) : The probability of an impossible event is 1.
Reason (R) : If A is a perfect subset of B and P(A) < P(B), then P(B – A) is equal to P(B) – P(A).

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 but R is True

Detailed Solution: Question 4

Assertion (A) is wrong.

If the probability of an event is 0, then it is called an impossible event.

But Reason (R) is correct.

From Basic Theorem of Probability, P(B – A) = P(B) – P(A), this is true only if the condition given in the question is true.

Test: Probability- Assertion & Reason Type Questions - 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 (A) : Let A and B be two events such that the occurrence of A implies occurrence of B, but not vice-versa, then the correct relation between P(A) and P(B) is P(B) ≥ P(A).
Reason (R) : Here, according to the given statement P(B) = P(A ∪ (A ∩ B)
(∵ A ∩ B = A)
= P(A) + P(A ∩ B)
Therefore, P(B) ≥ P(A)

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 but R is True

Test: Probability- Assertion & Reason Type Questions - 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 (A): Let A and B be two events such that P(A) = 1/5 , while P(A or B) = 1/2. Let P(B) = P, then for P = 3/8 , A and B independent.
Reason (R) : For independent events, P(A ∩ B) = P(A) P(B)
P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
= P(A) + P(B) – P(A) P(B)
⇒
⇒ P = 3/8.

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 but R is True

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Probability- Assertion & Reason Type Questions - Free with Solutions JEE

MCQ Practice Test & Solutions: Test: Probability- Assertion & Reason Type Questions (6 Questions)

Direction: 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 A ⊂ B and B ⊂ A then, P(A) = P(B).
Reason (R) : If A ⊂ B then

Direction: 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 of an impossible event is 1.
Reason (R) : If A is a perfect subset of B and P(A) < P(B), then P(B – A) is equal to P(B) – P(A).

Mathematics (Maths) Class 12

Mathematics (Maths) Class 12

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Probability- Assertion & Reason Type Questions - Free with Solutions JEE

MCQ Practice Test & Solutions: Test: Probability- Assertion & Reason Type Questions (6 Questions)

Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice asAssertion (A) : If A ⊂ B and B ⊂ A then, P(A) = P(B).Reason (R) : If A ⊂ B then

Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice asAssertion (A) : The probability of an impossible event is 1.Reason (R) : If A is a perfect subset of B and P(A) < P(B), then P(B – A) is equal to P(B) – P(A).

Mathematics (Maths) Class 12

Mathematics (Maths) Class 12

Top Courses for JEE

About this JEE Practice Test

Explore more JEE Study Resources

Direction: 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 A ⊂ B and B ⊂ A then, P(A) = P(B).
Reason (R) : If A ⊂ B then