Q: The probability of an event $$A is $$calculated as:

$$P(A) = \dfrac{\text{number of occurrences of } A}{\text{total number of outcomes}}$$

Q: A password consists of five different capital letters. How many possible passwords can be formed?

$$26 \times 25 \times 24 \times 23 \times 22$$

Question 1

Which of the following best describes the Rare Event Rule for Inferential Statistics?

Accepted Answer

If an observed event has a very small probability under a given assumption, the assumption is probably not correct.

Question 2

A simple event is defined as:

Accepted Answer

An event that cannot be broken down into simpler components.

Question 3

What is the sample space for flipping a coin twice?

Accepted Answer

$$\{HH, HT, TH, TT\}$$

Question 4

If you roll a six-sided die and flip a coin, how many possible outcomes are there?

Accepted Answer

$$12$$

Question 5

Which of the following numbers cannot be a probability?

Accepted Answer

$$1.11$$

Question 6

The probability of an event $$A is $$calculated as:

Accepted Answer

$$P(A) = \dfrac{	ext{number of occurrences of } A}{	ext{total number of outcomes}}$$

Question 7

A password consists of five different capital letters. How many possible passwords can be formed?

Accepted Answer

$$26 	imes 25 	imes 24 	imes 23 	imes 22$$

Question 8

If you select a king from a standard deck, do not replace it, and then select a queen, are these events independent or dependent?

Accepted Answer

Dependent, because removing a card changes the probability of the next event.

Question 9

Which of the following is an example of classical probability?

Accepted Answer

Calculating the probability of rolling a 3 on a fair die without rolling it.

Question 10

How many different ways can you select one manufacturer, one car size, and one color from the following options: 3 manufacturers (Ford, GM, Honda), 2 car sizes (compact, midsize), and 4 colors (white, red, black, green)?

Accepted Answer

$$3 	imes 2 	imes 4 = 24$$

Question 11

What is the value of $$5! ($$five factorial)?

Accepted Answer

$$120$$

Question 12

If the probability of an event is zero, what does this mean?

Accepted Answer

The event is impossible.

Question 13

A door passcode uses four digits. The second digit must be four. The last digit must be even. How many possible passcodes are there?

Accepted Answer

Question 14

Which of the following best describes the Fundamental Counting Principle?

Accepted Answer

Multiply the number of possible outcomes for each part of a procedure.

Question 15

If you flip a coin, spin a spinner with 3 colors, and flip another coin, how many possible outcomes are there?

Accepted Answer

$$2 	imes 3 	imes 2 = 12$$

Question 16

Which of the following is NOT a property of probability?

Accepted Answer

Probabilities can be negative.

Question 17

A tree diagram is useful for:

Accepted Answer

Finding a sample space for a multi-step experiment.

Question 18

Which of the following is an example of a dependent event?

Accepted Answer

Drawing a card from a deck, not replacing it, and drawing another card.

Question 19

If you have 4 shirts, 3 pairs of pants, and 3 pairs of shoes, how many different outfits can you make (one of each)?

Accepted Answer

$$4 	imes 3 	imes 3 = 36$$

Question 20

Which of the following best describes relative frequency probability?

Accepted Answer

It is calculated by recording data from a procedure and using the results.

Introductory Statistics: Chapter 4 - Probability Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards