OUP Oxford IB Math Studies Chapter 8: Sets & Probability Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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Question 1 1. Define independent event?

Question 2 2. Using a standard deck of cards (which has 26 red cards and 26 black cards, with 13 cards of every suit), what is the probability of selecting a red card, and then after replacing the card, selecting a heart card?

Question 3 3. Use the Venn Diagram. Fill in the box with the correct answer.

Question 4 4. The probability of selecting a red M&M from a bag is 2/5. If 5 M&Ms are selected, what is the probability of at least one M&M being red?

Question 5 5. The probability of selecting a brown M&M from a bag is 1 out of 4. If 8 M&Ms are selected, what is the probability that at least one of them is brown?

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Question 6 6. The letters that spell out the state CALIFORNIA are cut and placed in a bag. What is the probability that the 3rd letter selected will be a C if the first two letters selected were both I's? (Letters were not replaced)

Question 7 7. Twelve employees at a local company decide to go out for lunch. Of the 12 employees, 8 are men and 4 are women. If a woman is the first to order, what is the probability that a man will be the next person to order lunch?

Question 8 8. Jessie has a deck of 52 regular playing cards and a bag of six marbles. In the bag, there are two blue marbles, three green marbles, and one white marble. What is the probability of Jessie drawing an ace from the deck of cards and a blue marble from the bag?

Question 9 9.

Let set M = {1, 3, 4, 5}

Let set R = {4, 6, 7}

Find.

Question 10 10.

Kyle works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs, 5 rock CDs, 12 hip hop CDs, and and 3 jazz CDs.

What is the probability that the first CD that Kyle pulls from the box will NOT be hip hop?

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Question 11 11.

Let the set A = {2, 4, 6, 8}

Let set B = {1, 3, 5, 7}

Find.

Question 12 12. Kasey (a girl) and Michael (a boy) are auditioning for a reality TV show about singing. The show's producers want to choose one boy and one girl. Including Kasey and Michael, there are 4 girls and 2 boys auditioning. Is the event of Kasey being selected independent from the event of Michael being selected, or are the events dependent? Also, what is the probability that the producers will select Kasey and Michael for the show?

Question 13 13. In a fish tank there are 10 clown fish, 4 angel fish, 6 puffer fish, and 5 eels. What is the probability of scooping out a clown fish on the second scoop after scooping out a clown fish on the first scoop and not replacing it? Give your answer as a fraction in its most reduced form.

Question 14 14. The probability of winning a prize at a ball toss at a carnival is 2/7. What is the probability of not winning a prize?

Question 15 15. What do we call the probability of a second event given that a first event has already occurred?

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Question 16 16. While playing with a standard deck of playing cards, what is the probability that Jim's 5th card will be red after selecting 4 cards that were also red and not replacing them? (Hint: There are 52 cards in a deck which contains 26 red and 26 black cards.)

Question 17 17. In probability, a/an _____ is an event of a sample space.

Question 18 18. What is a set (S) of a random experiment that includes all possible outcomes of the experiment?

Question 19 19. Gary has a deck of 52 cards. He wants to know the probability of drawing the jack of spades and then drawing the two of hearts from the deck without replacing either card. What's the probability of this event?

Question 20 20.

What is the correct way of denoting (or writing) the cardinality of set Q?

Q = {orange, green, pink, red, black}

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Question 21 21. Jenny has a bowl of M&M's that has 6 brown, 3 green, 4 red, and 12 yellow M&M's. She selects a yellow M&M and does not replace it. What is the probability that her second selection will be a brown M&M?

Question 22 22. It's the first day of school and Anne is comparing her class schedule with her friends. Thirty percent of Anne's friends are in Geometry and World History with her. She has 60% of her friends in Geometry, and she has 40% of her friends in World History. What is the probability that one of her friends is in Geometry or World History with Anne?

Question 23 23. Using a standard deck of 52 cards, what is the probability of selecting a 4 and then after not replacing the card, selecting another 4?

Question 24 24.

Kyle works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs, 5 rock CDs, 12 hip hop CDs, and 3 jazz CDs.

What is the probability that the first CD Kyle chooses from the box will be country?

Question 25 25. On a 5 question, multiple-choice test, what is the probability that you will get at least one problem correct while guessing? Each question has 5 choices.

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Question 26 26.

Let F = {2, 5, 7, 9}

Let G = {1, 4, 6, 8}

Which of the following is true?

Question 27 27. There is a bag of blue and red marbles and a deck of cards. What is the type of probability if one wants to know the chances of pulling out a blue marble and then an ace from the deck of cards?

Question 28 28. All of the letters that spell MISSISSIPPI are put into a bag. What is the probability of selecting a vowel, and then after replacing the letter, also drawing an S?

Question 29 29. In an experiment, a coin is flipped, and the coin can either land heads up, or tails up. What would we call the outcome where the coin lands heads up?

Question 30 30. Steve has a regular deck of 52 playing cards. He wants to know the probability of pulling two clubs from the deck in a row without replacing the first club. What is the probability of this event?

OUP Oxford IB Math Studies Chapter 8: Sets & Probability Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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