Chapter 5 Practice Quiz

Consider rolling two number cubes, each of which has its faces numbered from 1 to 6. The cubes will be rolled and the sum of the numbers landing face up will be recorded. Let the event E represent the event of rolling a sum of 5. How many outcomes are in the collection for event E ?

• 1

• 2

• 4

• 5

• 6

Tags

CCSS.HSS.CP.A.1

In a certain population of birds, about 40 percent of the birds have a wingspan greater than 10 inches. Biologists studying the birds will create a simulation with random numbers to estimate the probability of finding 1 bird in a sample of 6 birds with a wingspan greater than 10 inches. Which of the following assignments of the digits 0 to 9 will model the population?

• Let the even digits represent birds with a wingspan greater than 10 inches and the odd digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits 0 and 1 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits from 0 to 2 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits from 0 to 3 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits from 0 to 4 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.MD.A.3

Each person in a group of twenty people at a hotel orders one meal chosen from oatmeal, eggs, or pancakes and one hot beverage chosen from coffee or tea. One person will be selected at random from the twenty people. What is the sample space for the meal and beverage for the person selected?

• {(oatmeal, coffee), (oatmeal, tea), (eggs, coffee), (eggs, tea), (pancakes, coffee), (pancakes, tea)}

• {(oatmeal, pancakes), (oatmeal, eggs), (eggs, pancakes), (coffee, tea)}

• {(coffee, tea, oatmeal), (coffee, tea, eggs), (coffee, tea, pancakes)}

• {oatmeal, coffee, pancakes, eggs, tea}

• {(oatmeal, eggs, pancakes), (coffee, tea)}

Tags

CCSS.HSS.CP.A.1

At Mike’s favorite coffee shop, the coffee of the day is either a dark roast, a medium roast, or a light roast. From past experience, Mike knows that the probability of the coffee being a light roast is 0.15 and the probability of the coffee being a dark roast is 0.25. What is the probability of the coffee of the day not being a light roast or a dark roast on the next day that Mike visits the coffee shop?

• 0.15

• 0.25

• 0.40

• 0.60

• 0.85

Tags

CCSS.7.EE.B.3

Amy has 12 brown golf tees, 8 white golf tees, 10 red golf tees, 6 blue golf tees, and 12 green golf tees in her golf bag. If she selects one of the tees from the bag at random, what is the probability that she selects a tee that is not brown or blue?

• $\frac{3}{8}$

• $\frac{5}{8}$

• $\frac{21}{32}$

• $\frac{3}{4}$

• $\frac{7}{8}$

Tags

CCSS.HSS.CP.A.1

A financial analyst reports that for people who work in the finance industry, the probability that a randomly selected person will have a tattoo is 0.20.

• For all workers in the United States, 20% will work in finance.

• For all finance workers, 20% will have a tattoo.

• For all people with tattoos, 20% will work in finance.

• For a specific group of 5 finance workers, 1 will have a tattoo.

• For a specific group of 5 people with a tattoo, 1 will work in finance.

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

At a local elementary school, 35 percent of all students have brown eyes, 45 percent have brown hair, and 60 percent have brown hair or brown eyes. A student will be selected at random from the school. Let E represent the event that the selected person has brown eyes, and let H represent the event that the selected person has brown hair. Are E and H mutually exclusive events?

• Yes, because P(E∩H)=0

• Yes, because P(E∩H)=0.2

• Yes, because P(E∩H)=0.6

• No, because P(E∩H)=0.2

• No, because P(E∩H)=0.6

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

For the lunch special at a high school cafeteria, students can get either salad or french fries as a side order. The following table shows the number of each side order for the lunch specials purchased on one day, classified by the grade of the student. From those who purchased the lunch special that day, one student will be selected at random. What is the probability that the student selected will be in grade 10 given that the student ordered french fries as the side order?

• $\frac{71}{368}$

• $\frac{105}{368}$

• $\frac{71}{248}$

• $\frac{248}{368}$

• $\frac{71}{105}$

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

At a large high school 40 percent of the students walk to school, 32 percent of the students have been late to school at least once, and 37.5 percent of the students who walk to school have been late to school at least once. One student from the school will be selected at random. What is the probability that the student selected will be one who both walks to school and has been late to school at least once?

• 0.12

• 0.15

• 0.1875

• 0.345

• 0.72

Tags

CCSS.6.RP.A.3C

Given independent events A and B such that P(A)=0.3

and P(B)=0.5, which of the following is a correct statement?

• P(A|B)=0

• P(B|A)=0.3

• P(A|B)=0.5

• P(A∪B)=0.65

• P(A∪B)=0.80

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.7

CCSS.HSS.CP.B.8