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

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

Question 1

Which of the following best describes a probability experiment?

Accepted Answer

An action or trial through which specific results (counts, measurements, or responses) are obtained.

Question 2

A survey asks people for their blood types (O, A, B, AB) and whether they are Rh-positive or Rh-negative. How many possible 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 roll a six-sided die. What is the classical probability of rolling a 3?

Accepted Answer

$$\frac{1}{6}$$

Question 5

A company surveys 1502 adults about their book reading habits. 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 6

Which statement best illustrates the law of large numbers?

Accepted Answer

As a probability experiment is repeated many times, the empirical probability approaches the theoretical probability.

Question 7

A doctor estimates a patient has a 90% chance of full recovery. What type of probability is this?

Accepted Answer

Subjective probability

Question 8

What is the probability of winning a 1000-ticket raffle with one ticket?

Accepted Answer

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

Question 9

Which of the following is NOT a valid probability value?

Accepted Answer

1.2

Question 10

If the probability of snow in July in northwest Ohio is 0, how would you describe this event?

Accepted Answer

Impossible

Question 11

The complement of event E is defined as:

Accepted Answer

The set of all outcomes in the sample space that are not included in event E.

Question 12

A company surveys 3000 users about their age. 765 are 25 to 34 years old. What is the probability that the next user surveyed is NOT 25 to 34 years old?

Accepted Answer

$$1 - \frac{765}{3000}$$

Question 13

How many possible Social Security Numbers (SSNs) are there, if each digit can be any number from 0 to 9 and digits can be repeated?

Accepted Answer

$$10^9$$

Question 14

What is the probability of randomly generating your own SSN, assuming all 9-digit numbers are equally likely?

Accepted Answer

$$\frac{1}{10^9$}$$

Question 15

A standard Ohio license plate consists of three letters followed by four digits. If repetition is allowed, how many distinct license plates can Ohio create?

Accepted Answer

$$26^3$$ 	imes $$10^4$$

Question 16

You are purchasing a new 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 17

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

Accepted Answer

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

Question 18

Which of the following best describes empirical probability?

Accepted Answer

Probability based on observations obtained from probability experiments.

Question 19

If the probability of an event is 0.5, how would you describe the likelihood of the event?

Accepted Answer

Even chance

Question 20

A sports analyst says a team has a 70% chance of winning based on personal judgment and team performance. What type of probability is this?

Accepted Answer

Subjective probability

Chapter 3: Probability – Structured Study Notes for Statistics Students

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