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Homework answers / question archive / DeVry University, Chicago MATH 221 1)(CO 2) A random selection from a deck of cards selects one card
DeVry University, Chicago
MATH 221
1)(CO 2) A random selection from a deck of cards selects one card. What is the probability of selecting a spade?
0.025
0.250
0.050
0.077
2. (CO 2) What is the sample space of flipping three coins, where H=heads, and T=tails?
(H,H,H)(H,H,T)(H,T,T)(T,H,H)(T,T,H)(T,T,T)(T,H,T)(H,T,H)
(H,H,H)(T,T,T)
(H,H,H)(H,H,H)(H,H,H)(H,H,H)(T,T,T)(T,T,T)(T,T,T)(T,T,T)
(H,H,T)(H,T,T)(T,H,H)(T,T,H)(T,T,T)(T,H,T)(H,T,H)
3. (CO 2) Consider the table below
Response (number of cats owned) 
Frequency 
None 
659 
One 
329 
Two 
52 
Three 
13 
Four or more 
8 
What is the probability that the next person asked has no cats?
31%
50%
62%
5%
4. (CO 2) Consider the table below
Age Group 
Frequency 
1829 
9831 
3039 
7845 
4049 
6869 
5059 
6323 
6069 
5410 
70 and over 
5279 
What is the probability that the next person chosen will be in the 5059 or 6069 age groups?
31.7%
42.5%
28.2%
23.7%
5. (CO 2) Based on the CEO’s perception, a company estimates that a new product will be purchased by 32% of current customers. This is an example of which type of probability?
Empirical probability
Classical probability
Subjective probability
Public probability
6. (CO 2) Consider the table below.
Age Group 
Frequency 
1829 
9831 
3039 
7845 
4049 
6869 
5059 
6323 
6069 
5410 
70 and over 
5279 
What is the complement of P(over 60), or P(over 60’)?
64.6%
74.3%
71.8%
25.7%
7. (CO 2) You are selling your product at a threeday event. Each day, there is a 60% chance that you will make money. What is the probability that you will make money on the first day and lose money on the second day, and make money on the third?
0.216
0.096
0.288
0.144
8. (CO 2) Consider the table below.

Profit 
Loss 
Total 
Urban location 
50 
38 
88 
Rural location 
61 
84 
125 
Total 
111 
132 
243 
Find the probability that a randomly selected location is in an urban location, given that it is operating a loss.
55.0%
28.8%
36.2%
48.8%
9. (CO 2) Consider the table below.
Production location 

Defective 
Total 
East 
258 
31 
289 
West 
572 
106 
678 
North 
755 
94 
849 
South 
491 
74 
565 
Total 
2076 
305 
2381 
Find the probability that a randomly selected product is defective, given that it is from the South production facility.
13.1%
23.7%
12.8%
10.7%
10. (CO 2) Classify these events. Selecting a king from a deck of cards, keeping it and
selecting a queen from the same deck. These events would be considered:
Independent
Subjective
Dependent
Empirical
11. (CO 3) Classify these events. Some businesses have large stores and some businesses have large parking lots. These events would be considered:
Classical
Dependent
Subjective
Independent
12. (CO 2) In a survey of 320 customers, 84 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?
6.81%
6.89%
6.83%
24.25%
13. (CO 2) Randomly select a customer that purchases tofu. Randomly select a customer that purchases chicken. Are these events mutually exclusive?
Mutually exclusive events
Nonmutually exclusive events
14. (CO 2) Two cards are selected without replacement from a standard deck of 52 cards. Find the probability of selecting a heart and then selecting a diamond.
0.0588
0.0625
0.0637
0.0250
15. (CO 2) Two cards are selected with replacement from a standard deck of 52 cards. Find the probability of selecting a heart and then selecting a diamond.
0.0588
0.0625
0.0637
0.0250
16. (CO 2) The probability of a golden retriever catching a tennis ball in midair is 81%. Find the probability that a golden retriever catches three tennis balls in midair.
0.5314
0.6561
0.4052
0.5119
17. (CO 2) A statistics class has 50 students and among those students, 35 are business majors and 7 like grilled cheese. Of the business majors, 3 like grilled cheese. Find the probability that a randomly selected statistics student is a business major and likes grilled cheese.
0.72
0.80
0.75
0.84
18. (CO 2) The probability of a team winning its next game is 48%. The probability of losing its next game would be called the:
conditional probability
Empirical rule
complement of winning
multiplication rule
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