Q: If two cards are drawn from a standard deck without replacement, what is the probability that both are aces?

$$\frac{4}{52} \times \frac{3}{51}$$

Question 1

A single die is rolled. What is the probability that the result is an even number?

Accepted Answer

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

Question 2

If two dice are rolled, what is the probability that the sum is 7?

Accepted Answer

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

Question 3

A card is drawn from a standard deck of 52 cards. What is the probability that it is a heart?

Accepted Answer

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

Question 4

A study of 1000 randomly selected flights at a major airport showed that 640 arrived on time. What is the probability of a flight arriving on time?

Accepted Answer

$$0.64$$

Question 5

If a card is drawn from a standard deck, what is the probability that it is a face card (Jack, Queen, or King)?

Accepted Answer

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

Question 6

The distribution of blood types for 100 Americans is shown. If one donor is selected at random, what is the probability the donor has type O blood? $$O: 45, A: 40, B: 11, AB: 4$$

Accepted Answer

$$0.45$$

Question 7

A question has four multiple-choice answers. What is the probability of guessing the correct answer?

Accepted Answer

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

Question 8

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If one marble is drawn at random, what is the probability it is not blue?

Accepted Answer

$$\frac{7}{10}$$

Question 9

The data in the table represent the number of students who commute to college by different means. If a student is selected at random, what is the probability the student commutes by car? (Car: 120, Bus: 30, Walk: 50)

Accepted Answer

$$\frac{120}{200}$$

Question 10

A spinner is divided into 8 equal sections numbered 1 through 8. What is the probability of spinning a number greater than 5?

Accepted Answer

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

Question 11

If two cards are drawn from a standard deck without replacement, what is the probability that both are aces?

Accepted Answer

$$\frac{4}{52} 	imes \frac{3}{51}$$

Question 12

A survey of college students found that 60% own a laptop, 30% own a tablet, and 10% own both. What is the probability that a randomly selected student owns either a laptop or a tablet?

Accepted Answer

$$0.60 + 0.30 - 0.10 = 0.80$$

Question 13

A box contains 6 white balls and 4 black balls. If two balls are drawn with replacement, what is the probability both are black?

Accepted Answer

$$\left(\frac{4}{10}\$$right)^2$$ = \frac{16}{100}$$

Question 14

A question has five multiple-choice answers. What is the probability of guessing incorrectly?

Accepted Answer

$$\frac{4}{5}$$

Question 15

A bag contains 3 red, 2 blue, and 5 green marbles. If one marble is drawn at random, what is the probability it is either red or blue?

Accepted Answer

$$\frac{5}{10}$$

Question 16

A student is selected at random from a class of 20 students, 12 of whom are female. What is the probability the student is male?

Accepted Answer

$$\frac{8}{20}$$

Question 17

A coin is tossed three times. What is the probability of getting exactly two heads?

Accepted Answer

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

Question 18

A box contains 10 bulbs, 3 of which are defective. If one bulb is selected at random, what is the probability it is not defective?

Accepted Answer

$$\frac{7}{10}$$

Question 19

A student guesses on a true/false question. What is the probability of guessing correctly?

Accepted Answer

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

Question 20

A bag contains 4 red, 5 blue, and 1 green marble. If a marble is drawn at random, what is the probability it is not blue?

Accepted Answer

$$\frac{6}{10}$$

Step-by-Step Guidance for Introductory Statistics: Probability Review

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