PROBABILITY EXAMINATION QUESTION AND CORRECT
ANSWER WITH EXPLANATION GRADED A+ STUDY GUIDE
SOUTHERN NEW HAMPSHIRE UNIVERSITY
1. Probability measures:
A. Likelihood of an event
B. Exact certainty
C. Geometry
D. Algebra
Answer: A
Rationale: Probability quantifies chance.
2. Probability values range between:
A. 0 and 1
B. 1 and 10
C. -1 and 1
D. 0 and 100
Answer: A
Rationale: Always between 0 and 1.
3. An impossible event has probability:
A. 0
B. 1
C. 0.5
D. -1
Answer: A
Rationale: Cannot occur.
4. A certain event has probability:
A. 1
B. 0
C. 0.5
D. -1
Answer: A
Rationale: Must occur.
5. Sample space is:
A. All possible outcomes
, B. One outcome
C. No outcomes
D. Graph only
Answer: A
Rationale: Complete set of results.
6. An event is:
A. Subset of sample space
B. Whole space
C. Graph only
D. Function
Answer: A
Rationale: Collection of outcomes.
7. Mutually exclusive events:
A. Cannot occur together
B. Always occur together
C. Independent only
D. Dependent only
Answer: A
Rationale: No overlap.
8. Independent events satisfy:
A. P(A∩B)=P(A)P(B)
B. P(A)=P(B)
C. P(A)+P(B)=1
D. P(A)=0
Answer: A
Rationale: Independence rule.
9. Dependent events:
A. One affects the other
B. No relation
C. Always equal
D. Impossible
Answer: A
Rationale: Events influence each other.
10. Conditional probability is:
A. P(A|B)
, B. P(A+B)
C. P(A×B)
D. P(A−B)
Answer: A
Rationale: Probability given condition.
11. Formula for conditional probability:
A. P(A|B)=P(A∩B)/P(B)
B. P(A)+P(B)
C. P(A)×P(B)
D. P(A)/P(B) always
Answer: A
Rationale: Definition formula.
12. Addition rule for probabilities:
A. P(A∪B)=P(A)+P(B)−P(A∩B)
B. P(A)+P(B)
C. P(A)×P(B)
D. P(A)/P(B)
Answer: A
Rationale: Avoid double counting.
13. For mutually exclusive events:
A. P(A∩B)=0
B. P(A∩B)=1
C. P(A)=P(B)
D. P(A)+P(B)=0
Answer: A
Rationale: No overlap.
14. Complement of event A is:
A. Aᶜ
B. A∩B
C. A∪B
D. A+B
Answer: A
Rationale: Not A.
15. Complement rule:
A. P(Aᶜ)=1−P(A)
ANSWER WITH EXPLANATION GRADED A+ STUDY GUIDE
SOUTHERN NEW HAMPSHIRE UNIVERSITY
1. Probability measures:
A. Likelihood of an event
B. Exact certainty
C. Geometry
D. Algebra
Answer: A
Rationale: Probability quantifies chance.
2. Probability values range between:
A. 0 and 1
B. 1 and 10
C. -1 and 1
D. 0 and 100
Answer: A
Rationale: Always between 0 and 1.
3. An impossible event has probability:
A. 0
B. 1
C. 0.5
D. -1
Answer: A
Rationale: Cannot occur.
4. A certain event has probability:
A. 1
B. 0
C. 0.5
D. -1
Answer: A
Rationale: Must occur.
5. Sample space is:
A. All possible outcomes
, B. One outcome
C. No outcomes
D. Graph only
Answer: A
Rationale: Complete set of results.
6. An event is:
A. Subset of sample space
B. Whole space
C. Graph only
D. Function
Answer: A
Rationale: Collection of outcomes.
7. Mutually exclusive events:
A. Cannot occur together
B. Always occur together
C. Independent only
D. Dependent only
Answer: A
Rationale: No overlap.
8. Independent events satisfy:
A. P(A∩B)=P(A)P(B)
B. P(A)=P(B)
C. P(A)+P(B)=1
D. P(A)=0
Answer: A
Rationale: Independence rule.
9. Dependent events:
A. One affects the other
B. No relation
C. Always equal
D. Impossible
Answer: A
Rationale: Events influence each other.
10. Conditional probability is:
A. P(A|B)
, B. P(A+B)
C. P(A×B)
D. P(A−B)
Answer: A
Rationale: Probability given condition.
11. Formula for conditional probability:
A. P(A|B)=P(A∩B)/P(B)
B. P(A)+P(B)
C. P(A)×P(B)
D. P(A)/P(B) always
Answer: A
Rationale: Definition formula.
12. Addition rule for probabilities:
A. P(A∪B)=P(A)+P(B)−P(A∩B)
B. P(A)+P(B)
C. P(A)×P(B)
D. P(A)/P(B)
Answer: A
Rationale: Avoid double counting.
13. For mutually exclusive events:
A. P(A∩B)=0
B. P(A∩B)=1
C. P(A)=P(B)
D. P(A)+P(B)=0
Answer: A
Rationale: No overlap.
14. Complement of event A is:
A. Aᶜ
B. A∩B
C. A∪B
D. A+B
Answer: A
Rationale: Not A.
15. Complement rule:
A. P(Aᶜ)=1−P(A)
