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Prealgebra

Carol E. Malloy, Rhonda J. Molix-Bailey, Jack Price

Chapter 12

More Statistics and Probability

Educators


Problem 1

Tell whether each situation is a permutation or combination.
How many ways can 5 people be arranged in a line?

Ashley V.
Numerade Educator

Problem 2

Tell whether each situation is a permutation or combination.
How many programs of 4 musical pieces can be made from 8 possible pieces?

Ashley V.
Numerade Educator

Problem 3

Tell whether each situation is a permutation or combination.
How many ways can a 3 -player team be chosen from 9 students?

Ashley V.
Numerade Educator

Problem 4

Tell whether each situation is a permutation or combination.
How many ways can 6 different flowers be chosen from 12 different flowers?

Ashley V.
Numerade Educator

Problem 5

A pizza shop has 12 toppings from which to choose. If 3 toppings are chosen randomly for a pizza, what is the probability that it is topped with pepperoni, onion, and sausage?

Ashley V.
Numerade Educator

Problem 6

Tell whether each situation is a permutation or combination.
How many ways can 6 cars line up for a race?

Ashley V.
Numerade Educator

Problem 7

Tell whether each situation is a permutation or combination.
How many different flags can be made from the colors red, blue, green, and white if each flag has three vertical stripes?

Ashley V.
Numerade Educator

Problem 8

Tell whether each situation is a permutation or combination.
How many ways can 4 shirts be chosen from 10 shirts to take on a trip?

Ashley V.
Numerade Educator

Problem 9

Tell whether each situation is a permutation or combination.
How many ways can you buy 2 DVDs from a display of $15 ?$

Ashley V.
Numerade Educator

Problem 10

Tell whether each situation is a permutation or combination.
How many 3-digit numbers can you write using the digits $6,7,$ and 8 exactly once in each number?

Ashley V.
Numerade Educator

Problem 11

Tell whether each situation is a permutation or combination.
There are 12 paintings in a show. How many ways can the paintings take first, second, and third place?

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Numerade Educator

Problem 12

Tell whether each situation is a permutation or combination.
How many 5 -card hands can be dealt from a standard deck of 52 cards?

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Numerade Educator

Problem 13

Tell whether each situation is a permutation or combination.
How many ways can you choose 3 flavors of ice cream from a choice of 14 flavors?

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Numerade Educator

Problem 14

Tell whether each situation is a permutation or combination.
Twelve points are marked on a circle. How many different line segments can be drawn between any two of the points?

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Numerade Educator

Problem 15

Tell whether each situation is a permutation or combination.
Nine people gather for a meeting. Each person shakes hands with every other person exactly once. How many handshakes will take place?

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Numerade Educator

Problem 16

Use the information at the left.
FIGURE CAN'T COPY
Suppose you only have time to ride eight of the coasters. How many ways are there to ride eight coasters if order is important?

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Numerade Educator

Problem 17

Use the information at the left.
FIGURE CAN'T COPY
How many ways are there to ride eight of the coasters if order is not important?

Ashley V.
Numerade Educator

Problem 18

Use the information at the left.
FIGURE CAN'T COPY
What is the probability that the first two of the eight coasters you ride are the Millennium Force and the Top Thrill Dragster? Suppose you chose to ride the two coasters at random.

Ashley V.
Numerade Educator

Problem 19

In a best-of-three series, the first team to win 2 games wins the series. Two ways to win a best-of-three series are to win the first 2 games or lose the first game and win the next two games. How many ways are there to win a best-of-three series? a best-of-five series? a best-of-seven series?

Ashley V.
Numerade Educator

Problem 20

Use the following information. Three roses are to be placed in a vase. The color choices are red, pink, white, yellow, and orange.
How many different 3 -rose combinations can be made from the 5 roses?

Ashley V.
Numerade Educator

Problem 21

Use the following information. Three roses are to be placed in a vase. The color choices are red, pink, white, yellow, and orange.
What is the probability that 3 roses selected at random will include pink, white, and yellow?

Ashley V.
Numerade Educator

Problem 22

Use the following information. Three roses are to be placed in a vase. The color choices are red, pink, white, yellow, and orange.
What is the probability that 3 roses selected at random will not include red?

Ashley V.
Numerade Educator

Problem 23

Suppose your cell phone uses a 4-digit personal identification number (PIN) to lock it from use.
How many PINs can you choose to lock your cell phone?

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Numerade Educator

Problem 24

Suppose your cell phone uses a 4-digit personal identification number (PIN) to lock it from use.
Use probability to explain how someone is unlikely to guess your PIN.

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Numerade Educator

Problem 25

Sindu thinks choosing five CDs from a collection of 30 to take to a party is a permutation. Amanda thinks it is a combination. Who is correct? Explain your reasoning.

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Numerade Educator

Problem 26

Write a problem that can be solved by finding $P(4,3).$

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Numerade Educator

Problem 27

Is the value of $P(x, y)$ sometimes, always, or never greater than the value of $C(x, y) ?$ (Assume $x \neq 1, y \neq 1$, and $x \neq y$.)

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Numerade Educator

Problem 28

Determine whether the following statement is always true. If it is not, provide a counterexample.

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Numerade Educator

Problem 29

Writing in Math Why is order sometimes important when determining outcomes? Give an example of a situation where order is important and one where order is not important.

Check back soon!

Problem 30

When the Rockets win a basketball game, the 12 players on the team give each other high-fives. How many distinct high-fives are given?
A 24
B 36
C 66
D D96

Ashley V.
Numerade Educator

Problem 31

How many different slates of officers could be made if a slate consists of one candidate for each office?
$$\begin{array}{|c|c|c|}
\hline \text { President } & \text { Secretary } & \text { Treasurer } \\
\hline \text { Marina } & \text { Glenn } & \text { Ariel } \\
\text { Mima } & \text { Sung } & \text { Sherita } \\
\text { Nestor } & & \text { Westey } \\
\hline
\end{array}$$

Ashley V.
Numerade Educator

Problem 32

GAMES How many outcomes are possible for rolling three number cubes?

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Problem 33

Find the probability of choosing a girl's name at random from 20 girls' names and 50 boys' names. Round to the nearest tenth percent. (Lesson 12 - 7)

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Problem 34

Use the histogram. (Lesson $12-4$ )
How many years are there in each interval?

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Problem 35

Use the histogram. (Lesson $12-4$ )
Which interval has the greatest number of animals?

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Numerade Educator

Problem 36

Use the histogram. (Lesson $12-4$ )
How many of the animals in the histogram have a life span of more than 20 years?

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Numerade Educator

Problem 37

Solve each inequality. Then graph the solution on a number line.
$$2 a-3 \geq 9$$

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Numerade Educator

Problem 38

Solve each inequality. Then graph the solution on a number line.
$$4 c+4>32$$

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Numerade Educator

Problem 39

Solve each inequality. Then graph the solution on a number line.
$$-2 y+3<9$$

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Numerade Educator

Problem 40

Find each product. $$\frac{1}{6} \cdot \frac{1}{3}$$

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Problem 41

Find each product. $$\frac{1}{6} \cdot \frac{1}{3}$$
$$\frac{2}{3} \cdot \frac{3}{6}$$

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Numerade Educator

Problem 42

Find each product. $$\frac{1}{6} \cdot \frac{1}{3}$$
$$\frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3}$$

Ashley V.
Numerade Educator

Problem 43

Find each product. $$\frac{1}{6} \cdot \frac{1}{3}$$
$$\frac{3}{8} \cdot \frac{2}{7} \cdot \frac{1}{6}$$

Ashley V.
Numerade Educator