Chapter 12 Practice Test #1 - M2 Math

1 Chapter 12 Practice Test #1. Class Name : M29 geometry - 2019-20 Term 2 Instructor Name : Mr. Beckey Student Name : _____ Instructor Note : 1. The lunch special at Frank's Restaurant is a sandwich, a drink and a dessert. There are 2 sandwiches, 1 drink, and 6. desserts to choose from. How many lunch specials are possible? 2. Monroe High School is going to select a committee. The committee will have a faculty member, a male student, a female student, and a parent. Here are the positions and the people interested in each.

2 Position People interested Faculty member Mr. Kim, Ms. Kelly Male student Shen, Dan, Chau, Keith Female student Mai, Raina, Maya, Jina Parent Mr. Rodriguez, Dr. Miller, Mrs. Robinson, Dr. Collins, Mrs. Richardson Based on this list, how many ways are there to fill the four committee positions? 3. A bag has six balls labeled A , B , C , D, E , and F. One ball will be randomly picked, and its letter will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of choosing a letter from D to F.

3 If there is more than one element in the set, separate them with commas. Sample space: Event of choosing a letter from D to F: 4. AC hapter class12isPrchoosing a president, ac ti c e T es t #1 Page 1 / 20. a vice president, and a treasurer. 2019 M c G r aw - H i l l Educ ati on. Al l R i ghts R es er v ed. 4. A class is choosing a president, a vice president, and a treasurer. There are two students running for president: Maria and Linda. There are two students running for vice president: Bob and John. There are three students running for treasurer: Jessica, Amanda, and Debra.

4 The tree diagram below shows the possible outcomes. Use the diagram to answer the questions. President Vice President Treasurer Outcome Jessica Maria, Bob, Jessica Bob Amanda Maria, Bob, Amanda Debra Maria, Bob, Debra Maria Jessica Maria, John, Jessica John Amanda Maria, John, Amanda Debra Maria, John, Debra Jessica Linda, Bob, Jessica Bob Amanda Linda, Bob, Amanda Debra Linda, Bob, Debra Linda Jessica Linda, John, Jessica John Amanda Linda, John, Amanda Debra Linda, John, Debra (a) How many outcomes are there?

5 (b) How many outcomes have both Maria and John being chosen? (c) How many outcomes have Jessica or Amanda being chosen? 5. A burger chain wants to send codes for a free small drink to the members of its kids club. The coupon code will have one letter, followed by two digits, followed by two letters. The letters R , S , T , and U and the digit 3 will not be used. So, there are 22 letters and 9 digits that will be used. Assume that the letters and digits can be repeated. How many such coupon codes can be generated?

6 6. CAhapter bag 12with 6ti marbles Pr ac c e T es t #1 is shown below. (2 marbles are grey, 1 is black, and Page 2 / 20 3 are white.). 2019 M cA. G rmarble is chosen aw - H i l l Educ from ati on. Al l R the i ghts R es erbag v ed. 6. A bag with 6 marbles is shown below. (2 marbles are grey, 1 is black, and 3 are white.) A marble is chosen from the bag at random. What is the probability that it is grey? Write your answer as a fraction in simplest form. 7. Here is a table showing all 52 cards in a standard deck.

7 Face cards Color Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Red Hearts A 2 3 4 5 6 7 8 9 1 0 J Q K . Red Diamonds A 2 3 4 5 6 7 8 9 1 0 J Q K . Black Spades A 2 3 4 5 6 7 8 9 1 0 J Q K . Black Clubs A 2 3 4 5 6 7 8 9 1 0 J Q K . Suppose one card is drawn at random from a standard deck. Answer each part. Write your answers as fractions in simplest form. (a) What is the probability that the card drawn is a black card? (b) What is the probability that the card drawn is a four? (c) What is the probability that the card drawn is a black card or a four?

8 8. CAn organization hapter 12 Pr ac ti c e Twill give Page es t #1 a prize 3 / 20to a local artist. The artist will be randomly chosen c G r aw - H i l3. fromMamong 2019 ati on. Al l7R sculptors, painters, l Educ and i ghts R es er v ed. 8. An organization will give a prize to a local artist. The artist will be randomly chosen from among 3 painters, 7 sculptors, and 12 photographers. What is the probability that the artist chosen will be a painter or a sculptor? Write your answer as a fraction in simplest form.

9 9. (a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Outcomes Event Probability 1 2 3 4 5 6 7 8 9 10. X P X = _____. not X 1 P not X = _____. (b) Subtract. 1 P X =. (c) Select the answer that makes the sentence true. 1 P X is the same as_____. P X. P not X. 1 P not X. None of the above 10. There are 8 people taking part in a raffle. Ann, Bob, Elsa, Jim, Kira, Lena, Omar, and Soo. Suppose that prize winners are randomly selected from the 8 people.

10 Compute the probability of each of the following events. Event A: The first four prize winners are Soo, Ann, Lena, and Jim, regardless of order. Event B: Kira is the first prize winner, Soo is second, Bob is third, and Elsa is fourth. Write your answers as fractions in simplest form. P A =. P B =. hapter Evaluate. 12 Pr ac ti c e T es t #1 Page 4 / 20 2019 M c G r aw - H i l l Educ ati on. Al l R i ghts R es er v ed. 11. Evaluate. 4 !8 ! 2 !7 ! Simplify your answer as much as possible. 12. Evaluate 12 P 3 and 8 C 4.