Chapter 5 Practice AP Test

Dr. Stats plans to toss a fair coin 10,000 times in the hope that it will lead him to a deeper understanding of the laws of probability. Which of the following statements is true?

• It is unlikely that Dr. Stats will get more than 5000 heads.

• Whenever Dr. Stats gets a string of 15 tails in a row, it becomes more likely that the next toss will be a head.

• The fraction of tosses resulting in heads should be exactly 1/2.

• The chance that the 100th toss will be a head depends somewhat on the results of the first 99 tosses.

• It is likely that Dr. Stats will get about 50% heads

Tags

CCSS.HSS.CP.A.5

China has 1.2 billion people. Marketers want to know which international brands they have heard of. A large study showed that 62% of all Chinese adults have heard of Coca-Cola. You want to simulate choosing a Chinese at random and asking if he or she has heard of Coca-Cola. One correct way to assign random digits to simulate the answer is:

• One digit simulates one person’s answer; odd means “Yes” and even means “No.”

• One digit simulates one person’s answer; 0 to 6 mean “Yes” and 7 to 9 mean “No.”

• One digit simulates the result; 0 to 9 tells how many in the sample said “Yes.”

• Two digits simulate one person’s answer; 00 to 61 mean “Yes” and 62 to 99 mean “No.”

• Two digits simulate one person’s answer; 00 to 62 mean “Yes” and 63 to 99 mean “No.”

Tags

CCSS.7.SP.C.8C

Choose an American household at random and record the number of vehicles they own. A housing company builds houses with two-car garages. What percent of households have more cars than the garage can hold?

Here is the probability model if we ignore the few households that own more than 5 cars:

• 7%

• 13%

• 20%

• 45%

• 55%

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

Computer voice recognition software is getting better. Some companies claim that their software correctly recognizes 98% of all words spoken by a trained user. To simulate recognizing a single word when the probability of being correct is 0.98, let two digits simulate one word; 00 to 97 mean “correct.” The program recognizes words (or not) independently. To simulate the program’s performance on 10 words, use these random digits:

60970 70024 17868 29843 61790 90656 87964

The number of words recognized correctly out of the 10 is

• 10

• 9

• 8

• 7

• 6

Tags

CCSS.7.SP.C.8C

One thousand students at a city high school were classified according to both GPA and whether or not they consistently skipped classes. The two-way table below summarizes the data. Suppose that we choose a student from the school at random.

What is the probability that a student has a GPA under 2.0?

• 0.227

• 0.255

• 0.450

• 0.475

• 0.506

Tags

CCSS.8.SP.A.4

One thousand students at a city high school were classified according to both GPA and whether or not they consistently skipped classes. The two-way table below summarizes the data. Suppose that we choose a student from the school at random.

What is the probability that a student has a GPA under 2.0 or has skipped many classes?

• 0.080

• 0.281

• 0.285

• 0.365

• 0.727

Tags

CCSS.HSS.CP.B.7

One thousand students at a city high school were classified according to both GPA and whether or not they consistently skipped classes. The two-way table below summarizes the data. Suppose that we choose a student from the school at random.

What is the probability that a student has a GPA under 2.0 given that he or she has skipped many classes?

• 0.080

• 0.281

• 0.285

• 0.314

• 0.727

Tags

CCSS.HSS.CP.A.4

For events A and B related to the same chance process, which of the following statements is true?

• If A and B are mutually exclusive, then they must be independent.

• If A and B are independent, then they must be mutually exclusive.

• If A and B are not mutually exclusive, then they must be independent.

• If A and B are not independent, then they must be mutually exclusive.

• If A and B are independent, then they cannot be mutually exclusive.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Choose an American adult at random. The probability that you choose a woman is 0.52. The probability that the person you choose has never married is 0.25. The probability that you choose a woman who has never married is 0.11. The probability that the person you choose is either a woman or has never been married (or both) is therefore about

• 0.77

• 0.66

• 0.44

• 0.38

• 0.13

Tags

CCSS.HSS.CP.B.7

A deck of playing cards has 52 cards, of which 12 are face cards. If you shuffle the deck well and turn over the top 3 cards, one after the other, what’s the probability that all 3 are face cards?

• 0.001

• 0.005

• 0.010

• 0.012

• 0.02

Tags

CCSS.HSS.CP.B.9