Question 1

A standard deck of cards contains 52 cards divided into 4 suits: Hearts, Diamonds, Spades, and Clubs. What is the probability of drawing a card that is either a Heart or a Diamond?

Accepted Answer

$$\frac{26}{52}$$

Question 2

If you flip a fair coin 3 times, what is the probability of getting exactly 2 heads?

Accepted Answer

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

Question 3

In a city intersection, 929 accidents occur in a year, and 211 were fatalities. What is the probability that an accident at this intersection results in a fatality?

Accepted Answer

$$\frac{211}{929}$$

Question 4

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

Accepted Answer

As the sample size increases, the relative frequency of an event approaches its actual probability.

Question 5

You draw a card from a standard deck. What is the probability that the card is a black card?

Accepted Answer

$$\frac{1}{2}$$

Question 6

If you flip a fair coin 3 times, what is the probability of getting at least two heads?

Accepted Answer

$$\frac{1}{2}$$

Question 7

A teacher wants every student in a large class to have a birthday pair (two students sharing the same birthday). Which statistical concept explains why this is likely in a large class?

Accepted Answer

Law of Large Numbers

Question 8

If you draw a card from a standard deck, what is the probability that it is either a Queen or a King?

Accepted Answer

$$\frac{8}{52}$$

Question 9

Suppose the probability of dying in a car accident at a certain intersection is $$0.227. $$What is the probability of surviving an accident at this intersection?

Accepted Answer

$$0.773$$

Question 10

If you draw a card from a standard deck, what is the probability that it is a red card and a Queen?

Accepted Answer

$$\frac{2}{52}$$

Question 11

A student claims that after flipping a coin 10 times and getting 7 heads, the probability of getting a tail on the next flip is higher. Which statistical principle refutes this claim?

Accepted Answer

Each coin flip is independent; the probability remains $$0.5$$ for each flip.

Question 12

If you draw a card from a standard deck, what is the probability that it is either a Jack, Queen, or King?

Accepted Answer

$$\frac{12}{52}$$

Question 13

Which of the following is an example of relative frequency?

Accepted Answer

The proportion of accidents resulting in fatalities at an intersection over a year.

Question 14

If you flip a fair coin 3 times, what is the probability of getting exactly 1 head?

Accepted Answer

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

Question 15

A deck of cards has 4 suits. What is the probability of drawing a card from the suit of Spades?

Accepted Answer

$$\frac{13}{52}$$

Question 16

If you flip a fair coin 3 times, what is the probability of getting all heads?

Accepted Answer

$$\frac{1}{8}$$

Question 17

Which of the following statements about probability is correct?

Accepted Answer

Probability is a measure of how likely an event is to occur, ranging from 0 to 1.

Question 18

If you draw a card from a standard deck, what is the probability that it is not a face card (Jack, Queen, King)?

Accepted Answer

$$\frac{40}{52}$$

Question 19

A teacher wants to know the probability that at least two students in a class of 30 share the same birthday. Which concept is most relevant to this scenario?

Accepted Answer

Birthday Paradox

Question 20

If you draw a card from a standard deck, what is the probability that it is either a red card or a black Queen?

Accepted Answer

$$\frac{27}{52}$$

Fundamental Probability Concepts and Applications

Study Guide - Practice Questions

Study Guide - Flashcards