Conditional Probability Objective Questions
Conditional Probability – Objective Questions with Answers & Explanations
Class: CBSE Class 12
Subject: Mathematics
Section: Probability
Topic: Conditional Probability Objective Questions
Exam Focus: CBSE Board Examinations
Subject: Mathematics
Section: Probability
Topic: Conditional Probability Objective Questions
Exam Focus: CBSE Board Examinations
These Multiple Choice Questions (MCQs) are designed strictly as per the NCERT syllabus and are ideal for CBSE Class 12 Board Examination practice. Detailed explanations are provided for concept clarity.
1. Conditional probability P(A|B) is defined as:
Answer: A
By definition, conditional probability measures probability of A given B has occurred.
By definition, conditional probability measures probability of A given B has occurred.
2. Condition for conditional probability to exist:
Answer: B
Denominator cannot be zero.
Denominator cannot be zero.
3. If A and B independent:
Answer: A
Independence ⇒ occurrence of B doesn’t affect A.
Independence ⇒ occurrence of B doesn’t affect A.
4. P(A∩B) equals:
Answer: A
5. Conditional probability is based on:
Answer: A
Given B occurred, sample space reduces to B.
Given B occurred, sample space reduces to B.
6. If P(A)=0.5, P(B)=0.5 independent, P(A∩B)=
Answer: A
P(A)P(B)=0.25.
P(A)P(B)=0.25.
7. Dependent events mean:
Answer: A
8. P(A|B) ≤
Answer: A
Probability never exceeds 1.
Probability never exceeds 1.
9. If A⊂B then P(A|B)=
Answer: A
10. Conditional probability formula derived from:
Answer: A
11. Independent ⇒ P(A|B)=
Answer: A
12. If P(B)=1 then P(A|B)=
Answer: A
13. Mutually exclusive ⇒ P(A|B)=
Answer: A
14. Conditional probability value range:
Answer: A
15. P(A∩B)=P(B|A)P(A) shows:
Answer: A
16. Conditional probability reduces:
Answer: A
17. P(A|B)=1 implies:
Answer: A
18. Dependent events violate:
Answer: A
19. Conditional probability used in:
Answer: D
20. Topic belongs to:
Answer: A