AP Statistics

The table shows data that were collected from people who attended a certain high school basketball game and indicates the team each person rooted for and whether each of these people purchased food during the game. A person who attended the game will be selected at random. Which of the following correctly interprets mutually exclusive events represented by the table?

• Rooting for the home team and rooting for the away team

• Rooting for the home team and purchasing food during the game

• Rooting for the away team and purchasing food during the game

• Rooting for the home team and not purchasing food during the game

• Not rooting for the home team and not purchasing food during the game

In an AP Statistics class, 57% of students eat breakfast in the morning, 80% of them floss their teeth, and 46% of the students do both.  What is the probability that a randomly chosen student eats breakfast or flosses their teeth?

• 91%

• 9%

• 11%

• 34%

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.

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.

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

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

If you randomly select a fish from this pet store, what is the probability it is either a goldfish or a betta?

• 0.0456

• 0.10

• 0.19

• 0.29

• 0.43

At a large university, 25% of students own a desktop computer, 68% own a laptop computer, and 75% own a desktop computer or a laptop computer. What is the probability that a student chosen at random from this university will own both a desktop and a laptop?

• 0.07

• 0.18

• 0.50

• 0.75

• 0.93

At a large university, 13% of students are student-athletes, 28% are business majors, and 35% are student-athletes or business majors. What is the probability that a student from this university chosen at random will be a student-athlete and a business major?

• 0.06

• 0.07

• 0.22

• 0.35

• 0.41