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

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

Question 1

A probability experiment consists of rolling a 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. There are 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 different codes are possible?

Accepted Answer

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

Question 6

Which of the following best describes empirical probability?

Accepted Answer

Probability based on observations from experiments

Question 7

A company surveyed 1502 adults about book reading. 560 read only print books. What is the empirical probability that the next adult surveyed read only print books?

Accepted Answer

$$\frac{560}{1502}$$

Question 8

Which statement is an example of subjective probability?

Accepted Answer

A doctor estimates a 90% chance of full recovery for a patient

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 $$P(E) = 0.7$$, what is $$P(E')$$, the probability of the complement of event $$E$$?

Accepted Answer

$$1 - 0.7 = 0.3$$

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

$$\frac{1}{4}$$

Question 12

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

Accepted Answer

$$\frac{1}{10^8$}$$

Question 13

Which of the following is NOT a property of probability?

Accepted Answer

The probability of an event can be negative

Question 14

A frequency distribution shows that 765 out of 3000 social media users are aged 25 to 34. What is the probability that a randomly selected user is 25 to 34 years old?

Accepted Answer

$$\frac{765}{3000}$$

Question 15

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

Accepted Answer

Event $$E is $$impossible

Question 16

Which of the following best describes classical probability?

Accepted Answer

Probability based on equally likely outcomes

Question 17

A raffle has 1000 tickets and you buy one ticket. What is the probability you win?

Accepted Answer

$$\frac{1}{1000}$$

Question 18

If $$P(E) = 0.4$$, what is the probability that event $$E$$ does NOT occur?

Accepted Answer

$$1 - 0.4 = 0.6$$

Question 19

Which of the following is an example of using the Fundamental Counting Principle?

Accepted Answer

Calculating the number of possible 3-letter passwords using 26 letters: $$26 	imes 26 	imes 26$$

Chapter 3: Probability – Structured Study Notes for Statistics Students

Study Guide - Practice Questions

Study Guide - Flashcards