Name: Date: CHAPTER TEST A 11 Probability Concepts and Skills 25 Suggested Time: 30 min (Questions 1 and 2: 2 3 1 point 5 2 points, Questions 3 and 4: 2 3 3 points 5 6 points, Questions 5 and 6: 2 3 1 point 5 2 points) State whether each event is a simple or compound event. 1. Selecting randomly two letters in a row from the word VALLEY 2. Drawing one baseball card from a case of sports cards 3. Draw a card from a bag with 1 white, 1 red, and 1 blue card, and toss a fair coin. 180 © Marshall Cavendish International (Singapore) Private Limited. Draw the possibility diagram and state the number of possible outcomes for each compound event. Chapter 11 Test A (M)MIFASSC3_11.indd 180 16/08/12 10:00 AM Name: Date: 4. From a bag containing 3 blue marbles and 3 green marbles, select two marbles, one at a time with replacement. State whether each compound event consists of independent events or dependent events. 5. Obtaining a six from throwing a fair six-sided number die, and then a two from another fair six-sided number die 6. From a stack of books, selecting two books randomly, one at a time without replacement © Marshall Cavendish International (Singapore) Private Limited. Problem Solving (3 3 5 points 5 15 points) Solve. Show your work. 7. A spinner equally divided into four sectors is marked 2, 3, 5, and 6. A fair four-sided die is marked 1, 1, 2, and 4. Robyn tosses the die and spins the spinner. a)Use a possibility diagram to find the probability that Robyn gets a negative number when she subtracts the number on the spinner from the number on the die. Assessments Course 3 181 (M)MIFASSC3_11.indd 181 16/08/12 10:00 AM Name: Date: b)Use a possibility diagram to find the probability that the product of the two resulting numbers is even. c)Find the probability that the product of the two resulting numbers is at most 8. 8. The probability of Charice watching a musical is m. The events of Charice watching and not watching a musical are mutually exclusive and complementary. b)Draw a tree diagram to represent the possible outcomes for two consecutive days. © Marshall Cavendish International (Singapore) Private Limited. a)Write an expression to represent that Charice will not watch a musical. 182 Chapter 11 Test A (M)MIFASSC3_11.indd 182 16/08/12 10:00 AM Name: Date: c)If m 5 0.6, find the probability that Charice will watch a musical on each of the two consecutive days. d)If m 5 0.38, find the probability that she will not watch a musical on each of the two consecutive days. e)If m 5 0.3, find the probability that Charice will watch a musical on at least one of the two consecutive days. 9. Tracie has 5 U.S.A. stamps, 2 Singapore stamps, and 3 New Zealand stamps. She randomly selects 2 stamps to give to her friend. Draw a tree diagram to represent the possible outcomes. © Marshall Cavendish International (Singapore) Private Limited. a) Assessments Course 3 183 (M)MIFASSC3_11.indd 183 16/08/12 10:00 AM Name: Date: b) What is the probability that Tracie selects two Norway stamps? c) What is the probability that Tracie selects two U.S.A. stamps? e)What is the probability that Tracie selects both stamps from the same country? © Marshall Cavendish International (Singapore) Private Limited. d) What is the probability that Tracie selects two New Zealand stamps? 184 Chapter 11 Test A (M)MIFASSC3_11.indd 184 16/08/12 10:00 AM Name: Date: CHAPTER TEST B 11 25 Probability Concepts and Skills Suggested Time: 30 min (Questions 1 and 2: 2 3 1 point 5 2 points, Questions 3 and 4: 2 3 3 points 5 6 points, Questions 5 and 6: 2 3 1 points 5 2 points) State whether each event is a simple or compound event. 1. Choosing a dime and then a quarter from a bag of coins 2. Selecting the letter A from the word NATIONAL © Marshall Cavendish International (Singapore) Private Limited. Draw the possibility diagram and state the number of possible outcomes for each compound event. 3. Randomly choosing a student from a class consisting of 20 boys and 10 girls, and randomly choosing a student from another class consisting of 10 boys and 20 girls Assessments Course 3 (M)MIFASSC3_11.indd 185 185 16/08/12 10:00 AM Name: Date: 4. From a container with 5 blue stickers and 7 red stickers, selecting two stickers, one at a time without replacement State whether each compound event consists of independent events or dependent events. 5. From a deck of 10 number cards labeled 1 to 10, choosing two cards labeled 1 randomly, one at a time with replacement 6. From a bag containing 5 oranges, where 3 are ripe and 2 are too green to be eaten, picking 2 ripe oranges randomly, one at a time without replacement Problem Solving (3 3 5 points 5 15 points) 7. A spinner is equally divided into three equal sectors and marked 2, 3, and 5. Five number cards are labeled 1, 1, 2, 3, and 4. Mike spins the spinner and draws a card randomly. a)Use a possibility diagram to find the probability that Mike gets a zero when he subtracts the number on the spinner from the number on the card. © Marshall Cavendish International (Singapore) Private Limited. Solve. Show your work. 186 Chapter 11 Test B (M)MIFASSC3_11.indd 186 16/08/12 10:00 AM Name: Date: b)Use a possibility diagram to find the probability that the product of the two resulting numbers is odd. c)What is the probability that the product of the two resulting numbers is at least 12? 8. The probability of Steven going to the gym is x. The events of Steven going and not going to the gym are mutually exclusive and complementary. © Marshall Cavendish International (Singapore) Private Limited. a)Write an expression to represent the probability that Steven will not go to the gym. b)Draw a tree diagram to represent the possible outcomes for two consecutive days. Assessments Course 3 187 (M)MIFASSC3_11.indd 187 16/08/12 10:00 AM Name: Date: c)If x 5 0.7, find the probability that Steven will go to the gym on each of the two consecutive days. d)If x 5 0.58, find the probability that Steven will not go to the gym on each of the two consecutive days. e)If x 5 0.2, find the probability that Steven will go to the gym on at most one of the two consecutive days. 9. Sara has 3 sketchbooks, 1 notebook, and 3 sticky notes. She randomly selects two items to give to her friend, Andy. Draw a tree diagram to represent the possible outcomes. © Marshall Cavendish International (Singapore) Private Limited. a) 188 Chapter 11 Test B (M)MIFASSC3_11.indd 188 16/08/12 10:00 AM Name: Date: b) What is the probability that Sara selects a novel? c)What is the probability that Sara selects a sketchbook and then a sticky note? © Marshall Cavendish International (Singapore) Private Limited. d) What is the probability that Sara selects two sketchbooks? e) What is the probability that Sara selects both items of the same type? Assessments Course 3 189 (M)MIFASSC3_11.indd 189 16/08/12 10:00 AM 8. a) 1 2 m b) 1. Compound 3. Coin W R B H (H, W) (H, R) (H, B) T (T, W) (T, R) (T, B) 1m m 1m There are 6 possible outcomes. 4. 1st Ball 2nd Ball Outcome B (B, B) G B (B, G) (G, B) c) 0.36 d) 0.3844 e) 0.51 9. a) 1st Stamp (G, G) 5 10 B represents blue marble G represents green marble There are 4 possible outcomes. 5. Independent 6. Dependent Die 6 21 21 22 22 21 1 24 24 23 21 25 25 24 22 0 2 Die c) 3 4 11 16 2 2 2 4 8 3 3 3 6 12 5 5 5 10 20 6 6 6 12 24 W (NW, W ) NW (NW, NW ) U (U, U ) S (U, S ) 3 9 N (U, N ) 5 9 U (S, U ) 1 9 S (S, S ) 3 9 N (S, N ) 5 9 U (N, U ) 2 9 S (N, S ) N (N, N ) S N Spinner 3 1 1 2 4 (W, NW ) Outcome 2 9 2 9 b) 5 13 16 3 2 10 3 10 Spinner 2 NW 2nd Stamp 4 9 G 2 1 1 2 4 (W, W ) W represents watching a musical NW represents not watching a musical U 7. a) W NW 1m B G Outcome W m H represents head T represents tail W represents white card R represents red card B represents blue card 2nd Day m Card 1st Day 2. Simple U represents U.S.A. stamps S represents Singapore stamps N represents New Zealand stamps b) 0 d) 1 15 c) e) 2 9 14 45 © Marshall Cavendish International (Singapore) Private Limited. Chapter 11 Test A 238 Answers MIF_Ass_C3_Answer.indd 238 8/16/12 9:06 PM 8. a) 1 2 x b) Chapter 11 Test B 1. Compound 1st Class B G x B (B, B) (B, G) G (G, B) (G, G) x x 1x 2nd Sticker Outcome (R, R ) R B R (R, B ) (B, R ) B (B, B ) c) 0.49 d) 0.1764 e) 0.96 9. a) 1st Item S Card 2 3 5 21 21 22 22 21 0 1 24 24 23 22 21 2 15 c) 2 5 1 5 3 1 1 2 3 4 2 2 2 4 6 8 3 3 3 6 9 12 (NG, G) 5 5 5 10 15 20 (S, S ) T S (S, T ) (N, S ) 0 N (N, N ) T S (N, T ) 3 6 N 3 6 3 7 3 6 T 1 6 N 2 6 T (S, N ) (T, S ) (T, N ) (T, T ) S represents sketchbook N represents notebook T represents sticky note Spinner b) Card © Marshall Cavendish International (Singapore) Private Limited. 1 7 Spinner 1 2 G S 1 6 N 3 6 3 7 There are 4 possible outcomes. 5. Independent 6. Dependent 0 (G, NG) 2nd Item Outcome 2 6 R represents red sticker B represents blue sticker 2 1 1 2 3 4 NG NG B 7. a) (G, G) NG (NG, NG) 1x G represents going to the gym NG represents not going to the gym B represents boy G represents girl There are 4 possible outcomes. 1st Sticker G G 1x R 2nd Day Outcome 2nd Class 3. 4. 1st Day 2. Simple c) 3 b) 0 d) 14 e) 2 7 1 7 End-of-Course Test A 1. 3. 5. 7. 9. C C A B D 2. 4. 6. 8. 10. A B B A D Assessments Course 3 239 MIF_Ass_C3_Answer.indd 239 8/16/12 9:06 PM
© Copyright 2024