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Quiz 2

Question 1

A researcher randomly selects 4 fish from among 8 fish in a tank and puts each of the 4 selected fish into

different containers. How many ways can this be done?

a)

420

b)

128

c)

8400

d)

1680

e)

6720

f)

None of the above

Question 2

An experimenter is randomly sampling 5 objects in order from among 49 objects. What is the total number

of samples in the sample space?

a)

1144130400

b)

1906884

c)

1086008

d)

228826080

e)

130320960

f)

None of the above

Question 3

A person eating at a cafeteria must choose 3 of the 17 vegetables on offer. Calculate the number of elements

in the sample space for this experiment.

a)

2040

b)

4080

c)

364



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d)

680

e)

2184

f)

None of the above

Question 4

How many license plates can be made using 3 digits and 4 letters if repeated digits and letters are allowed?

a)

258336000

b)

775008000

c)

217002240000

d)

456976000

e)

1370928000

f)

None of the above

Question 5

The union of two events A and B is the event that:

a)

Both A and B occur.

b)

Either A or B or both occur.

c)

A and B occur at the same time.

d)

The intersection of A and B does not occur.

e)

Either A or B, but not both occur.

f)

None of the above

Question 6

Let A = {3, 8}, B = {8, 12, 22}, D = {34} and S = sample space = A ¡È B ¡È D. Identify Ac.

a)

{3, 12, 22, 34}

b)

{3}

c)

{34}

d)

{12, 22, 34}



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e)

{12, 22}

f)

None of the above.

Question 7

Let A = {2, 7}, B = {7, 20, 30}, D = {32} and S = sample space = A ¡È B ¡È D. Identify Bc ¡È A.

a)

{2, 32}

b)

{2, 20, 30, 32}

c)

{2, 7, 20, 30}

d)

{2, 7}

e)

{2, 7, 32}

f)

None of the above.

Question 8

Let A = {3, 10}, B = {10, 11, 28}, D = {35} and S = sample space = A ¡È B ¡È D. Identify (Ac ¡É Bc)c.

a)

{11}

b)

{3, 10, 11, 28}

c)

{3}

d)

{10}

e)

{3, 10}

f)

None of the above.

Question 9

Let A = {2, 7}, B = {7, 16, 22}, D = {34} and S = sample space = A ¡È B ¡È D. Identify Ac ¡É B.

a)

{7}

b)

{2, 16, 22}

c)

{16, 22}

d)

{7, 34}

e)

{7, 16, 22}



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