Question 1

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

Accepted Answer

As the number of trials increases, the proportion of observed outcomes gets closer to the probability of the outcome.

Question 2

A random process is best defined as:

Accepted Answer

A process where the outcome of any particular trial is unknown, but the relative frequency of an outcome approaches a specific value as the number of trials increases.

Question 3

If you roll a fair six-sided die, what is the probability of rolling a number greater than 4?

Accepted Answer

$$\frac{2}{6}$$

Question 4

Which of the following is NOT a requirement for a probability model?

Accepted Answer

All events must be equally likely.

Question 5

An insurance agent insures 182 teenage drivers. Last year, 24 filed a claim. What is the empirical probability that a randomly selected teenager will file a claim?

Accepted Answer

$$\frac{24}{182}$$

Question 6

In a survey of 200 people, 22 carpooled to work. What is the probability that a randomly selected person from this survey carpools?

Accepted Answer

$$\frac{22}{200}$$

Question 7

Which method of probability calculation requires equally likely outcomes?

Accepted Answer

Classical method

Question 8

If a pair of fair dice is rolled, what is the probability of rolling a sum of seven?

Accepted Answer

$$\frac{6}{36}$$

Question 9

Sophia has three tickets to a concert. Four friends want to go. If she randomly selects two friends, what is the probability that Michael and Kevin are chosen?

Accepted Answer

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

Question 10

A subjective probability is:

Accepted Answer

A probability based on personal judgment or opinion.

Question 11

If the probability of an event is 0.025, how many times would you expect the event to occur in 1000 trials?

Accepted Answer

25

Question 12

Which of the following statements about probability is FALSE?

Accepted Answer

The probability of an event can be greater than 1.

Question 13

In the classical method, if there are $$n$$ equally likely outcomes and $$m$$ ways for event $$E to $$occur, what is the probability of $$E$$?

Accepted Answer

$$\frac{m}{n}$$

Question 14

A probability experiment consists of rolling a single fair die. What is the sample space?

Accepted Answer

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

Question 15

If an event is impossible, what is its probability?

Accepted Answer

0

Question 16

A probability model for M&M colors lists the following probabilities: Brown 0.13, Yellow 0.14, Red 0.13, Blue 0.24, Orange 0.20, Green 0.16. What is the sum of all probabilities?

Accepted Answer

1

Question 17

In a survey of 500 families with three children, 180 had two boys and one girl. What is the empirical probability of this event?

Accepted Answer

$$\frac{180}{500}$$

Question 18

If the probability of an event is 0.11, how many times would you expect it to occur in 100 trials?

Accepted Answer

11

Question 19

Which of the following is an example of a subjective probability?

Accepted Answer

An economist predicting a 20% chance of recession next year.

Question 20

If a probability experiment has 8 equally likely outcomes and 3 ways for event $$E to $$occur, what is $$P(E)$$?

Accepted Answer

$$\frac{3}{8}$$

Chapter 5: Probability – Structured Study Notes

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