5.1-5.2 Practice Questions AP Stats

A fair coin has come up "heads" 10 times in a row.  The probability that the coin will come up heads on the next flip is:

• greater than 50%, it's due to happen.
• 50%
• less than 50%, since tails is happening so much.
• Can't be determined

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

State the addition rule of probability.

• The addition rule of probability states that the probability of the intersection of two events A and B is equal to the sum of the probability of event A and the probability of event B.

• The addition rule of probability states that the probability of the intersection of two events A and B is equal to the product of the probability of event A and the probability of event B.

• The addition rule of probability states that the probability of the union of two events A and B is equal to the product of the probability of event A and the probability of event B.

• The addition rule of probability states that the probability of the union of two events A and B is equal to the sum of the probability of event A and the probability of event B, minus the probability of the intersection of events A and B.

Tags

CCSS.HSS.CP.B.7

What is the complementary rule of probability?

• 1 - P(A)

• P(A|B)

• P(A)

• P(A and B)

Tags

CCSS.HSS.CP.A.1

If two events are mutually exclusive, what is the probability of both events occurring?

• 0.25

• 0

• 1

• 0.5

The probability of selecting a person who is born left-handed is 0.11, or about 1 in 9. This means that

• For every 9 people, exactly 1 person will be left-handed.

• As we sample more and more people, the proportion of them who are left-handed will get closer and closer to 0.11.

• A sample of 100 randomly selected people will contain exactly 11 left-handed people.

• It is almost impossible to select two people in a row who are both left-handed.

Which of the following statements illustrates the Law of Large Numbers?

• We roll a die until it lands on four. The first four occurs on the 6th roll so the probability of rolling a four is 1/6.

• A population has 9% blue-eyed people. If we sample 100 people, 9% will have blue eyes.

• A population of individuals contains 73% that can curl their tongue. The larger the sample size we select, the closer the percentage of people who can curl their tongue gets to 73%.

• In a small number of people, the proportion who have a dog is 15%. As we increase the sample size, the proportion of people who have a dog will increase from 15%.

• Flip a fair coin and record if it lands heads up. If the first flip is tails, the next flip will likely be heads to make the probability of heads equal to 1/2.

Carson Cars sells hybrid and non-hybrid Kia, Toyota and Honda cars. All of the cars on the Carson Car lot were classified by make of the vehicle and whether or not it was a hybrid vehicle. The results are summarized in the table.

What is the probability that a randomly selected vehicle is hybrid or a Kia?

• 20/100

• 38/100

• 53/100

• 71/100

• 91/100

A recent poll asked respondents about their experiences with “hidden fees” associated with tickets to concerts, airlines, and sporting events. One of the questions was “When you are purchasing concert tickets online directly from the provider, how often do you end up paying more than the price you were initially shown as a result of taxes or other fees?” The table shows the set of responses, grouped by the age of the respondents.

If a respondent from this survey is selected at random, what is the probability that the respondent is between 18 and 29 years old or responded “Always” to the question?

• 0.090

• 0.208

• 0.499

• 0.617

• 0.707

A recent poll asked respondents about their fears. One of the questions was “Are you afraid of snakes?” The table summarizes the results, categorized by gender.

If a respondent is randomly selected, what is the probability that they are either a male or very afraid of snakes?

• 90/991

• 90/474

• 317/991

• 474/991

• 701/991

A grocery store sells many different types of M&M candies. The proportions of the different types are shown in the table.

If a bag of M&M’s is selected from among all the bags the store sells, what is the probability that it is either Milk Chocolate or Peanut?

• 0.100

• 0.426

• 0.320

• 0.574

• 0.680