Multiplying with Probability Worksheet Test

Part 1: Multiple Choice

Instructions: Choose the option that best completes the statement or answers the question.

1. What is the probability of flipping a coin and getting heads twice in a row?
   • A. 1/2
   • B. 1/4
   • C. 1/8
   • D. 1/16
2. If a bag contains 3 red balls and 5 blue balls, what is the probability of drawing a red ball and then a blue ball, without replacement?
   • A. 3/20
   • B. 1/4
   • C. 3/8
   • D. 3/10
3. If the probability of event A is 1/5 and the probability of event B is 1/4, what is the probability of both events happening?
   • A. 1/20
   • B. 1/10
   • C. 1/9
   • D. 1/8
4. If a spinner has 4 equal sections colored blue, red, green, and yellow, what is the probability of spinning blue twice in a row?
   • A. 1/16
   • B. 1/8
   • C. 1/4
   • D. 1/2
5. If a class has 20 students and 5 of them are left-handed, what is the probability of randomly selecting 2 left-handed students from the class?
   • A. 1/200
   • B. 1/38
   • C. 1/19
   • D. 1/10

Part 2: Short Answer

Instructions: Provide a short answer to the following questions.

1. What is the difference between independent and dependent events?
2. If the probability of event A is 1/3 and the probability of event B is 1/4, what is the probability of either event A or event B occurring?
3. If a bag contains 6 red balls and 4 blue balls, what is the probability of drawing a red ball and then a blue ball, with replacement?
4. If a spinner has 8 equal sections colored red, blue, yellow, and green, what is the probability of spinning red, then blue, then yellow?
5. If a class has 30 students and 10 of them have blue eyes, what is the probability of randomly selecting 3 students and none of them have blue eyes?

Part 3: Problem Solving

Instructions: Solve the following problems.

1. A box contains 5 red balls, 4 green balls, and 3 blue balls. If 2 balls are drawn at random without replacement, what is the probability that both balls are green?
2. A coin is flipped 3 times. What is the probability of getting heads on the first flip and tails on the next 2 flips?
3. A bag contains 8 marbles: 4 red and 4 blue. If 2 marbles are drawn at random without replacement, what is the probability that both marbles are red?
4. A spinner has 2 sections colored red, 3 sections colored blue, and 5 sections colored green. If the spinner is spun 3 times, what is the probability of getting a red section each time?
5. A jar contains 10 red balls and 20 blue balls. If 2 balls are drawn at random without replacement, what is the probability that the first ball is red and the second ball is blue?

Part 4: Real-World Applications

Instructions: Answer the following questions related to real-world situations.

1. What is the probability of rolling a 6 on a standard die?
2. If a company produces 500 widgets and 20% of them are defective, how many defective widgets should the company expect to produce?
3. If a basketball player makes 70% of their free throws, what is the probability they will make their next free throw?
4. If a restaurant has 8 different entrees and 5 different desserts, how many different meal combinations can be made?
5. If a car dealer sells 30 cars in a month and 10% of them are red, how many red cars did the dealer sell?