Question 1

Which of the following best describes a sample space in a probability experiment?

Accepted Answer

The set of all possible outcomes of a probability experiment.

Question 2

A password consists of 3 letters followed by 2 digits (0-9). If letters and digits can be repeated, how many different passwords are possible? Use the Fundamental Counting Principle.

Accepted Answer

$$26^3$$ 	imes $$10^2$$

Question 3

Which of the following is an example of empirical probability?

Accepted Answer

The probability that a randomly selected person prefers tea over coffee is 0.45, based on a survey of 1000 people.

Question 4

If the probability of an event $$E is$$ $$0.3$$, what is the probability of the complement of $$E$$?

Accepted Answer

$$1 - 0.3 = 0.7$$

Question 5

A doctor estimates that a patient has a 90% chance of full recovery. This is an example of:

Accepted Answer

Subjective probability

Question 6

A probability experiment consists of tossing a coin and rolling a six-sided die. How many outcomes are in the sample space?

Accepted Answer

$$2 	imes 6 = 12$$

Question 7

Which of the following statements about probability is FALSE?

Accepted Answer

The probability of an impossible event is 1.

Question 8

A survey of 3000 social media users found that 558 were aged 18 to 24. What is the empirical probability that the next user surveyed is 18 to 24 years old?

Accepted Answer

$$\frac{558}{3000}$$

Question 9

If you roll a six-sided die, what is the probability of rolling a number less than 5?

Accepted Answer

$$\frac{4}{6}$$

Question 10

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 11

Which of the following is NOT a simple event?

Accepted Answer

Rolling an even number on a six-sided die

Question 12

A spinner is equally likely to land on 1, 2, 3, or 4. What is the probability of spinning a number greater than 3?

Accepted Answer

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

Question 13

Which of the following best describes the Law of Large Numbers?

Accepted Answer

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

Question 14

A mobile device access code consists of 4 digits (0-9), and digits can be repeated. How many possible access codes are there?

Accepted Answer

$$10^4$$

Question 15

Which of the following is an example of classical probability?

Accepted Answer

The probability of drawing a heart from a standard deck of cards is $$\frac{1}{4}.$$

Question 16

If an event $$E$$ has probability $$P(E) = 0$$, which of the following is true?

Accepted Answer

Event $$E is $$impossible.

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

Which of the following best describes a subjective probability?

Accepted Answer

A probability based on intuition or an educated guess.

Question 19

If the probability of an event is greater than 1, what does this indicate?

Accepted Answer

A calculation error, since probabilities cannot exceed 1.

Question 20

A coin is tossed and a spinner with 4 equal sections (numbered 1-4) is spun. What is the probability of tossing a tail and spinning an odd number?

Accepted Answer

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

Probability: Basic Concepts and Counting Principles

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