Q: An access code consists of four digits (0-9). If each digit can be used only once, how many possible access codes are there?

$$10 \times 9 \times 8 \times 7 = 5040$$

Q: Which formula represents the classical probability of an event $$E$$?

$$P(E) = \frac{\text{Number of outcomes in event } E}{\text{Number of outcomes in sample space}}$$

Question 1

A probability experiment consists of rolling a fair six-sided die. What is the sample space for this experiment?

Accepted Answer

$$\{1, 2, 3, 4, 5, 6\}$$

Question 2

A survey asks people for their blood type (O, A, B, AB) and whether they are Rh-positive or Rh-negative. How many outcomes are in the sample space?

Accepted Answer

$$8$$

Question 3

Which of the following is a simple event?

Accepted Answer

Selecting a specific defective machine part from a batch

Question 4

You are buying a car and can choose from 3 manufacturers, 2 car sizes, and 4 colors. How many different ways can you select one manufacturer, one car size, and one color?

Accepted Answer

$$3 	imes 2 	imes 4 = 24$$

Question 5

An access code consists of four digits (0-9). If each digit can be used only once, how many possible access codes are there?

Accepted Answer

$$10 	imes 9 	imes 8 	imes 7 = 5040$$

Question 6

Which formula represents the classical probability of an event $$E$$?

Accepted Answer

$$P(E) = \frac{	ext{Number of outcomes in event } E}{	ext{Number of outcomes in sample space}}$$

Question 7

A company surveys 1490 adults about book reading. 578 read only print books. What is the empirical probability that the next adult surveyed read only print books?

Accepted Answer

$$P = \frac{578}{1490} \approx 0.388$$

Question 8

Which of the following best describes subjective probability?

Accepted Answer

A doctor estimates a 90% chance of recovery based on experience

Question 9

What does the Law of Large Numbers state?

Accepted Answer

As an experiment is repeated, the empirical probability approaches the theoretical probability

Question 10

If $$P(E) = 0.32$$, what is the probability of the complement of $$E$$?

Accepted Answer

$$P(E') = 1 - 0.32 = 0.68$$

Question 11

A probability experiment consists of tossing a coin and spinning a spinner with 8 equal sections numbered 1 to 8. What is the probability of tossing a tail and spinning an odd number?

Accepted Answer

$$P = \frac{4}{16} = 0.25$$

Question 12

Which of the following statements is NOT true about probability?

Accepted Answer

The probability of an event can be greater than 1

Question 13

A college ID number consists of 8 digits (0-9), each digit can be repeated. What is the probability of randomly generating your specific ID number?

Accepted Answer

$$P = \frac{1}{10^8$} = 0.00000001$$

Question 14

A frequency distribution of social networking site users by age is given. What is the empirical probability that the next user surveyed is 36 to 49 years old? (Frequency for 36 to 49 is 254, total is 975)

Accepted Answer

$$P = \frac{254}{975} \approx 0.26$$

Question 15

Which of the following is an example of classical probability?

Accepted Answer

The probability of winning a 1000-ticket raffle with one ticket is $$\frac{1}{1000}$$

Question 16

If the probability of an event $$E is 0$$, what does this mean?

Accepted Answer

The event is impossible

Question 17

A die is rolled. What is the probability of rolling a number less than 5?

Accepted Answer

$$P = \frac{4}{6} = 0.667$$

Question 18

Which of the following best describes the complement of an event $$E$$?

Accepted Answer

All outcomes in the sample space not in $$E$$

Chapter 3: Probability – Fundamental Concepts and Applications

Guida di studio - Domande di pratica

Study guide - Flashcard