William H. Knapp III

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1. What is an event?
Another word for outcome.
A set of one or more outcomes.
A set of two or more outcomes.
None of the above.

2. Two Complementary events: (Choose all that apply.)
Have probabilities that sum to 1.
Completely exhaust event space. That is, they represent every event.
Are mutually exclusive.
Can occur in one observation.

3. In a Venn diagram, what types of events would have overlapping regions? (Choose all that apply.)
Complementary events.
Independent events.
Mutually exclusive events.
Non-mutually exclusive events.

4. When flipping a fair coin once, what are the events heads and tails? Choose all that apply.
Independent
Complementary
Mutually Exclusive
None of the above.

5. When flipping a fair coin twice, what are the events heads and tails on different flips? Choose all that apply.
Independent
Complementary
Mutually Exclusive
None of the above.

6. What does a conditional probability tell us?
The probability of some event.
The probability of some event given some information.
The probability of two events occuring at the same time.
The probability of one of two events occuring.

7. For complementary events, what does p(A∪B) equal? Pick the best answer.
0
p(A)
p(B)
p(A) + p(B)
p(A) × p(B)
p(A) + p(B) - p(A∩B)
1

8. For mutually exclusive events, what does p(A∪B) equal? Pick the best answer.
0
p(A)
p(B)
p(A) + p(B)
p(A) × p(B)
p(A) + p(B) - p(A∩B)
1

9. For events that are not mutually exclusive, what does p(A∪B) equal? Pick the best answer.
0
p(A)
p(B)
p(A) + p(B)
p(A) × p(B)
p(A) + p(B) - p(A∩B)
1

10. For mutually exclusive events, what does p(A∩B) equal? Pick the best answer.
0
p(A)
p(B)
p(A) + p(B)
p(A) × p(B)
p(A) + p(B) - p(A∩B)
1

11. For independent events, what does p(A∩B) equal? Pick the best answer.
0
p(A)
p(B)
p(A) + p(B)
p(A) × p(B)
p(A) + p(B) - p(A∩B)
1

12. For mutually exclusive events, what does p(A|B) equal? Pick the best answer.
0
p(A)
p(B)
p(A) + p(B)
p(A) × p(B)
p(A) + p(B) - p(A∩B)
1

13. For independent events, what does p(A|B) equal? Pick the best answer.
0
p(A)
p(B)
p(A) + p(B)
p(A) × p(B)
p(A) + p(B) - p(A∩B)
1

14. If outcome A has probability p(A) and I perform 6 independent statistical experiments, what is the probability that I would observe outcome A on trials 1, 3, and 4. Note: When we flipped coins, there were two outcomes with equal probabilities. Here I'm not specifiying how many other outcomes there might be or their probabilities.

$$p(A)^6$$

$$p(A)^3$$

$$p(A)^3 \times p(Not A)^3$$

It's impossible to determine the probability with the information given.

15. How many unique ways could we observe exactly 3 observations of outcome A over the 6 trials?

$$6!$$

$$6^6$$

$$\frac{6!}{(6-3)!}$$

$$\frac{6!}{3!(6-3)!}$$

$$\frac{6!}{6!(6-3)!}$$

It's impossible to determine with the information given.

16. What type of question is the previous? Use the terminology I prefer.
Combination.
Ordered Combination.
Permutation.

17. How many ways can we arrange r objects out of N?

$$N!$$

$$\frac{N!}{(N-r)!}$$

$$\frac{N!}{r!(N-r)!}$$

$$\frac{N!}{N!(N-r)!}$$

It's impossible to determine with the information given.

18. What type of question is the previous? Use the terminology I prefer.
Combination.
Ordered Combination.
Permutation.

19. How many ways can we arrange N objects?

$$N!$$

$$\frac{N!}{(N-r)!}$$

$$\frac{N!}{r!(N-r)!}$$

$$\frac{N!}{N!(N-r)!}$$

It's impossible to determine with the information given.

20. What type of question is the previous? Use the terminology I prefer.
Combination.
Ordered Combination.
Permutation.