HW1 Blank
Question 1
An experiment involves tossing a pair of six-sided dice (1 red, 1 green), and recording the numbers that come up.
The outcomes are recorded as (x, y), where x indicates the outcome on the red die and y indicates the outcome on the green die.
Which of the following lists of elements of the sample space correspond to the event C that a number greater than 4 comes up on the green die?
☐ C = {(1, 4), (2, 4), (3, 4), (4, 4), (5, 4), (6, 4), (4, 1), (4, 2), (4, 3), (4, 5), (4, 6)}
☐ C = {(1, 4), (2, 4), (3, 4), (4, 4), (5, 4), (6, 4)}
☐ C = {5, 6}
☐ C = {(1, 5), (2, 5), (3, 5}, (4, 5), (5, 5), (6, 5), (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (6, 6)}
Question 2
Let S={0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and the following events be defined:
A={0, 2, 4, 6, 8}
B={1, 3, 5, 7, 9}
C={2, 3, 7}
Select the set of elements that corresponds to A ∩ C.
☐ {2}
☐ {3, 7}
☐ {0, 2, 4, 6, 8}
☐ Φ, the empty set
Question 3
Let S={0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and the following events be defined:
A={0,1, 2, 3, 4}
B={5, 6, 7, 8, 9}
C={1, 2, 4}
Select the set of elements that corresponds to A U C.
☐ {0,1, 2, 3, 4}
☐ {1, 2, 4}
☐ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
☐ Φ, the empty set
Question 4
Let S={0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and the following events be defined:
A={0, 2, 4, 6, 8}
B={1, 3, 5, 7, 9}
C={0, 7, 9}
Select the set of elements that corresponds to (A ∩ B') U C.
☐ {0, 2, 4, 6, 8, 7, 9}
☐ {0}
☐ {0, 7, 9}
☐ Φ, the empty set
Question 5
Consider rolling a six-sided die. Event A is rolling a number less than 4. Event B is rolling a multiple of 5.
These pairs of events are mutually exclusive.
☐ True
☐ False
Question 6
In how many ways can a true/false test consisting of 8 questions be answered?
☐8
☐ 16
☐ 256
Question 7
How many words of 3 letters can be made from 10 distinct letters?
☐3
☐ 120
☐6
☐ 720
Question 8
2 jurors are to be selected from 5 alternates to serve on a jury. How many ways can we select the 2 jurors from the
An experiment involves tossing a pair of six-sided dice (1 red, 1 green), and recording the numbers that come up.
The outcomes are recorded as (x, y), where x indicates the outcome on the red die and y indicates the outcome on the green die.
Which of the following lists of elements of the sample space correspond to the event C that a number greater than 4 comes up on the green die?
☐ C = {(1, 4), (2, 4), (3, 4), (4, 4), (5, 4), (6, 4), (4, 1), (4, 2), (4, 3), (4, 5), (4, 6)}
☐ C = {(1, 4), (2, 4), (3, 4), (4, 4), (5, 4), (6, 4)}
☐ C = {5, 6}
☐ C = {(1, 5), (2, 5), (3, 5}, (4, 5), (5, 5), (6, 5), (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (6, 6)}
Question 2
Let S={0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and the following events be defined:
A={0, 2, 4, 6, 8}
B={1, 3, 5, 7, 9}
C={2, 3, 7}
Select the set of elements that corresponds to A ∩ C.
☐ {2}
☐ {3, 7}
☐ {0, 2, 4, 6, 8}
☐ Φ, the empty set
Question 3
Let S={0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and the following events be defined:
A={0,1, 2, 3, 4}
B={5, 6, 7, 8, 9}
C={1, 2, 4}
Select the set of elements that corresponds to A U C.
☐ {0,1, 2, 3, 4}
☐ {1, 2, 4}
☐ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
☐ Φ, the empty set
Question 4
Let S={0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and the following events be defined:
A={0, 2, 4, 6, 8}
B={1, 3, 5, 7, 9}
C={0, 7, 9}
Select the set of elements that corresponds to (A ∩ B') U C.
☐ {0, 2, 4, 6, 8, 7, 9}
☐ {0}
☐ {0, 7, 9}
☐ Φ, the empty set
Question 5
Consider rolling a six-sided die. Event A is rolling a number less than 4. Event B is rolling a multiple of 5.
These pairs of events are mutually exclusive.
☐ True
☐ False
Question 6
In how many ways can a true/false test consisting of 8 questions be answered?
☐8
☐ 16
☐ 256
Question 7
How many words of 3 letters can be made from 10 distinct letters?
☐3
☐ 120
☐6
☐ 720
Question 8
2 jurors are to be selected from 5 alternates to serve on a jury. How many ways can we select the 2 jurors from the