Q: A spinner has 6 equal regions numbered 1 to 6. What is the probability of stopping on yellow for the first spin, stopping on an even number on the second spin, and stopping on blue or red on the third spin?

$$\frac{1}{6} \times \frac{3}{6} \times \frac{2}{6}$$

Question 1

A fair six-sided die is rolled. What is the theoretical probability of rolling a number greater than 4?

Accepted Answer

$$\frac{1}{3}$$

Question 2

You flip a fair coin 10 times and get 7 heads. What is the empirical probability of getting heads based on this experiment?

Accepted Answer

$$0.7$$

Question 3

Given a group of 100 people, 40 are wearing jeans and 60 are not. If one person is selected at random, what is the probability that they are not wearing jeans?

Accepted Answer

$$0.6$$

Question 4

In your coin purse, you have 3 quarters, 4 nickels, and 2 dimes. If you pick a coin at random, what is the probability that it will be a quarter?

Accepted Answer

$$\frac{3}{9}$$

Question 5

If $$P(A) = 0.4$$, what is the probability of the complement of event $$A$$?

Accepted Answer

$$0.6$$

Question 6

A weather report states the probability it will rain tomorrow is $$0.1$$, and the probability it will snow is $$0.25. $$What is the probability it will not rain or snow?

Accepted Answer

$$0.65$$

Question 7

Which of the following pairs of events are mutually exclusive?

Accepted Answer

Getting heads and getting tails on a single coin flip

Question 8

If events $$A$$ and $$B$$ are mutually exclusive and $$P(A) = 0.2$$, $$P(B) = 0.3$$, what is $$P(A \cup B)$$?

Accepted Answer

$$0.5$$

Question 9

A card is drawn from a standard deck of 52 cards. What is the probability that the card is a diamond or a king?

Accepted Answer

$$\frac{16}{52}$$

Question 10

If events $$A$$ and $$B$$ are not mutually exclusive, which formula should be used to find $$P(A \cup B)$$?

Accepted Answer

$$P(A) + P(B) - P(A \cap B)$$

Question 11

A spinner has 6 equal regions numbered 1 to 6. What is the probability of stopping on yellow for the first spin, stopping on an even number on the second spin, and stopping on blue or red on the third spin?

Accepted Answer

$$\frac{1}{6} 	imes \frac{3}{6} 	imes \frac{2}{6}$$

Question 12

In a contingency table, the probability of a student being a senior and driving a car is an example of which type of probability?

Accepted Answer

Joint probability

Question 13

A drug trial for ADHD shows 10 people improved with placebo, 30 improved with non-placebo, 40 did not improve with placebo, and 20 did not improve with non-placebo. What is the probability that a randomly selected person improved, given they received the placebo?

Accepted Answer

$$\frac{10}{50}$$

Question 14

If two events $$A$$ and $$B$$ are independent, which formula gives the probability that both occur?

Accepted Answer

$$P(A) 	imes P(B)$$

Question 15

You roll a six-sided die twice. What is the probability of rolling an even number on the first roll and a 3 on the second roll?

Accepted Answer

$$\frac{1}{12}$$

Question 16

A contingency table shows 40 seniors, 60 juniors, 50 drive a car, and 50 do not. What is the probability that a randomly selected student is a junior and does not drive a car if 20 juniors do not drive a car?

Accepted Answer

$$\frac{20}{100}$$

Question 17

If $$P(A) = 0.15$$ and $$P(B) = 0.32$$ and $$A$$ and $$B$$ are mutually exclusive, what is $$P(A \cup B)$$?

Accepted Answer

$$0.47$$

Question 18

A bag contains 3 red, 2 yellow, and 5 green marbles. If a marble is drawn at random, what is the probability it is green?

Accepted Answer

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

Question 19

If you flip a coin twice, what is the probability of getting heads on both flips?

Accepted Answer

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

Question 20

A card is drawn from a standard deck. What is the probability that it is a queen or a heart?

Accepted Answer

$$\frac{16}{52}$$

Fundamentals of Probability in Statistics: Concepts, Calculations, and Applications

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