Part -1:
QUESTION 1: Provide an appropriate response.
A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an ace or a heart.
A. 7/52
B 17/52
C 3/13
D 4/13
QUESTION 2: Provide an appropriate response.
A multiple-choice test has five questions, each with five choices for the answer. Only one of the choices is correct. You randomly guess the answer to each question. What is the probability that you answer the first two questions correctly?
A. 0.2
B. 0.4
C. 0.02
D. 0.04
QUESTION 3: Provide an appropriate response.
Decide if the events A and B are mutually exclusive or not mutually exclusive. A die is rolled.
A: The result is an odd number.
B: The result is an even number.
A. mutually exclusive
B. not mutually exclusive
QUESTION 4: Provide an appropriate response.
A group of students were asked if they carry a credit card. The responses are listed in the table.
| Class |
Credit Card carrier |
Not a Credit Card Carrier |
Total |
| Freshman |
40 |
20 |
60 |
| Sophomre |
25 |
15 |
40 |
| Total |
65 |
35 |
100 |
If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places.
A. 0.667
B. 0.400
C. 0.333
D. 0.615
QUESTION 5: Provide an appropriate response.
Classify the events as dependent or independent.
The events of getting two aces when two cards are drawn from a deck of playing cards and the first card is replaced before the second card is drawn.
A. dependent
B. independent
QUESTION 6: Provide an appropriate response.
Decide if the events A and B are mutually exclusive or not mutually exclusive. A card is drawn from a standard deck of 52 playing cards.
A: The result is a club.
B: The result is a king.
A. not mutually exclusive
B. mutually exclusive
QUESTION 7: Provide an appropriate response.
The table lists the smoking habits of a group of college students.
| Sex |
Non-somker |
Regular Smoker |
Heavy Smoker |
Total |
| Man |
135 |
36 |
5 |
176 |
| Woman |
187 |
21 |
15 |
223 |
| Total |
322 |
57 |
20 |
399 |
If a student is chosen at random, find the probability of getting someone who is a regular or heavy smoker. Round your answer to three decimal places.
A. 0.193
B. 0.221
C. 0.128
D. 0.662
Part -2:
QUESTION 1:
Provide an appropriate response.
One hundred people were asked, "Do you favor the death penalty?" Of the 33 that answered "yes" to the question, 14 were male. Of the 67 that answered "no" to the question, six were male. If one person is selected at random, what is the probability that this person answered "yes" or was a male?
A. 0.53
B. 0.39
C. 0.13
D. 0.67
QUESTION 2:
Provide an appropriate response.
A group of students were asked if they carry a credit card. The responses are listed in the table.
| Class |
Credit Card carrier |
Not a Credit Card Carrier |
Total |
| Freshman |
21 |
39 |
60 |
| Sophomre |
18 |
22 |
40 |
| Total |
39 |
61 |
100 |
If a student is selected at random, find the probability that he or she is a sophomore given that the student owns a credit card. Round your answers to three decimal places.
A. 0.538
B. 0.975
C. 0.462
D. 0.180
QUESTION 3:
Provide an appropriate response.
The probability it will rain is 40% each day over a three-day period. What is the probability it will rain at least one of the three days?
QUESTION 4:
Provide an appropriate response.
Decide if the events A and B are mutually exclusive or not mutually exclusive. A card is drawn from a standard deck of 52 playing cards.
A: The result is a 7.
B: The result is a jack.
A. mutually exclusive
B. not mutually exclusive
QUESTION 5:
Provide an appropriate response.
A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an ace or a heart.
A
B 3/13
C 17/52
D 4/13
7/52.
QUESTION 6:
Provide an appropriate response.
The table lists the smoking habits of a group of college students.
If a student is chosen at random, find the probability of getting someone who is a man or a non-smoker. Round your answer to three decimal places.
A. 0.945
B. 0.921
C. 0.941
D. 0.860
QUESTION 7:
Provide an appropriate response.
The table lists the smoking habits of a group of college students.
| Sex |
Non-somker |
Regular Smoker |
Heavy Smoker |
Total |
| Man |
135 |
34 |
5 |
174 |
| Woman |
187 |
21 |
10 |
218 |
| Total |
322 |
55 |
15 |
392 |
Classify the events as dependent or independent. The events of getting two aces when two cards are drawn from a deck of playing cards and the first card is not replaced before the second card is drawn.
A. dependent
B. independent
Part -3:
QUESTION 1:
Provide an appropriate response.
You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a two and the second card is a ten. Round your answer to three decimal places.
A. 0.500
B. 0.250
C. 0.994
D. 0.006
QUESTION 2:
Provide an appropriate response.
| Class |
Credit Card carrier |
Not a Credit Card Carrier |
Total |
| Freshman |
21 |
39 |
60 |
| Sophomre |
18 |
22 |
40 |
| Total |
39 |
61 |
100 |
A group of students were asked if they carry a credit card. The responses are listed in the table.
If a student is selected at random, find the probability that he or she is a sophomore given that the student owns a credit card. Round your answers to three decimal places.
A. 0.180
B. 0.538
C. 0.975
D. 0.462
QUESTION 3:
Provide an appropriate response.
Decide if the events A and B are mutually exclusive or not mutually exclusive. A card is drawn from a standard deck of 52 playing cards.
A: The result is a club.
B: The result is a king.
A. mutually exclusive
B. not mutually exclusive
QUESTION 4:
Provide an appropriate response.
Given that P(A or B) = 1/3, P(A)=1/4 , P(A) = 1/4 , and P(A and B) = 1/8, find P(B).
A 5/32
B 17/24
C 11/24
D 5/24
QUESTION 5:
Provide an appropriate response.
Classify the events as dependent or independent.
The events of getting two aces when two cards are drawn from a deck of playing cards and the first card is replaced before the second card is drawn.
A. dependent
B. independent