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#### DeVry University, Chicago MATH 221 1)(CO 2) A random selection from a deck of cards selects one card

###### Math

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 18-29 9831 30-39 7845 40-49 6869 50-59 6323 60-69 5410 70 and over 5279

What is the probability that the next person chosen will be in the 50-59 or 60-69 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 18-29 9831 30-39 7845 40-49 6869 50-59 6323 60-69 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 three-day 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

Non-mutually 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 mid-air is 81%. Find the probability that a golden retriever catches three tennis balls in mid-air.

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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