Name: Class: _ Date: _ ID: A Ch 3 Probability Unit Assignment Multiple Choice Identify the choice that best completes the statement or answers the question Given the following probabilities, which event is most likely to occur? A P(A) = 02 B P(B) = 6 C P(C) = 03 D P(D) = 3 2 The odds in favour of Macy passing her driver s test on the first try are 7 : 4 Determine the odds against Macy passing her driver s test on the first try A 4 : 7 B 4 : C 7 : D 3 : 3 Julie draws a card at random from a standard deck of 52 playing cards Determine the odds in favour of the card being a heart A 3 : B : 3 C : D 3 : 3 4 The weather forecaster says that there is an 80% probability of rain tomorrow Determine the odds against rain A 4 : 5 B 4 : C : 5 D : 4 5 Nine boys and twelve girls have signed up for a trip Only six students will be selected to go on the trip Determine, to the nearest hundredth of a percent, the probability that only boys will be on the trip A 002% B 008% C 05% D 023% 6 Cai tosses three coins Determine the probability that they all land as tails A 025 B 0875 C 00625 D 0375
Name: ID: A 7 Jake and Agnes are playing a board game with 2 regular 6 sided dice If a player rolls a sum greater than 9 or a multiple of 6, the player gets a bonus of 50 points Determine the probability of rolling a multiple of 6 A 8 B 9 C 6 D 3 8 Two regular 6 sided dice are rolled Let A represent rolling a sum greater than 0 Let B represent rolling a sum that is a multiple of 2 Determine n(a B) A B 3 C D 8 9 Select the events that are mutually exclusive A Rolling a sum of 9 or rolling a multiple of 3 with a pair of six-sided dice, numbered to 6 B Drawing a Jack or drawing a face card from a standard deck of 52 playing cards C Walking to school or taking the bus to school D Drawing a 2 or drawing a spade from a standard deck of 52 playing cards 0 Lorne rolls two regular six-sided dice Determine the odds against him rolling an odd sum or a sum of 4 A 7 : B : 8 C 7 : 9 D 5 : 7 Select the events that are dependent A Rolling a 2 and rolling a 5 with a pair of six-sided dice, numbered to 6 B Drawing an odd card from a standard deck of 52 playing cards, putting it back, and then drawing another odd card C Drawing a spade from a standard deck of 52 playing cards and then drawing another spade, without replacing the first card D Rolling an even number and rolling an odd number with a pair of six-sided dice, numbered to 6 2
Name: ID: A 2 There are 60 males and 90 females in a graduating class Of these students, 30 males and 50 females plan to attend a certain university next year Determine the probability that a randomly selected student plans to attend the university A 04 B 047 C 053 D 059 3 A spinner that has 3 equal parts of different colors is spun, and a regular 6 sided die is rolled Determine the probability of spinning blue and rolling a 4 A 24% B 556% C 77% D 982% 4 Select the independent events A P(A) = 022, P(B) = 039, and P(A B) = 0072 B P(A) = 08, P(B) = 07, and P(A B) = 063 C P(A) = 05, P(B) = 0, and P(A B) = 0069 D P(A) = 09, P(B) = 023, and P(A B) = 0207 Short Answer Jason and Coulter have invented a game: Two people play For each turn, both players roll a die - Player scores a point in the product of the two numbers is even - Player 2 scores a point in the product of the two numbers is odd A game consists of 0 turns Is their game fair? If it is not fair, which player has the advantage? 3
Name: ID: A 2 Brian has been awarded a penalty shot in a hockey game Colby is the goalie Brian has scored 4 times in his last 0 penalty shots Colby has blocked 7 of the last 0 penalty shots Determine the odds in favour of Brian scoring, using his data 3 From a committee of 2 people, 3 of these people are randomly chosen to be president, vice-president, and secretary Determine, to the nearest hundredth of a percent, the probability that Pavel, Rashida, and Jerry will be chosen 4 Brandon is playing a board game He must roll two four-sided dice, numbered to 4 Determine the probability that Brandon will roll a sum of 5 or a sum of 7 5 Leslie has four identical black socks and six identical white socks loose in her drawer She pulls out one sock at random and then another sock, without replacing the first sock Determine, to the nearest tenth of a percent, the probability that she pulls out a pair of black socks Problem Debra is the coach of a junior ultimate team Based on the team s record, it has a 70% chance of winning on calm days and a 50% chance of winning on windy days Tomorrow, there is a 30% chance of high winds There are no ties in ultimate What is the probability that Debra s team will win tomorrow? Show your work 4
Ch 3 Probability Unit Assignment Answer Section MULTIPLE CHOICE ANS: D PTS: DIF: Grade 2 REF: Lesson 3 OBJ: 4 Determine the probability of, or the odds for and against, an outcome in a situation 5 Explain, using examples, how decisions may be based on probability or odds and on subjective judgments 6 Solve a contextual problem that involves odds or probability TOP: Exploring Probability KEY: probability 2 ANS: A PTS: DIF: Grade 2 REF: Lesson 32 OBJ: Provide examples of statements of probability and odds found in fields such as media, biology, sports, medicine, sociology and psychology 2 Explain, using examples, the relationship between odds (part-part) and probability (part-whole) 3 Express odds as a probability and vice versa 4 Determine the probability of, or the odds for and against, an outcome in a situation 5 Explain, using examples, how decisions may be based on probability or odds and on subjective judgments 6 Solve a contextual problem that involves odds or probability TOP: Probability and Odds KEY: probability odds in favour odds against 3 ANS: B PTS: DIF: Grade 2 REF: Lesson 32 OBJ: Provide examples of statements of probability and odds found in fields such as media, biology, sports, medicine, sociology and psychology 2 Explain, using examples, the relationship between odds (part-part) and probability (part-whole) 3 Express odds as a probability and vice versa 4 Determine the probability of, or the odds for and against, an outcome in a situation 5 Explain, using examples, how decisions may be based on probability or odds and on subjective judgments 6 Solve a contextual problem that involves odds or probability TOP: Probability and Odds KEY: probability odds in favour 4 ANS: D PTS: DIF: Grade 2 REF: Lesson 32 OBJ: Provide examples of statements of probability and odds found in fields such as media, biology, sports, medicine, sociology and psychology 2 Explain, using examples, the relationship between odds (part-part) and probability (part-whole) 3 Express odds as a probability and vice versa 4 Determine the probability of, or the odds for and against, an outcome in a situation 5 Explain, using examples, how decisions may be based on probability or odds and on subjective judgments 6 Solve a contextual problem that involves odds or probability TOP: Probability and Odds KEY: probability odds against 5 ANS: C PTS: DIF: Grade 2 REF: Lesson 33 OBJ: 59 Solve a contextual problem that involves probability and permutations 64 Solve a contextual problem that involves combinations and probability TOP: Probabilities Using Counting Methods KEY: probability permutation
6 ANS: A PTS: DIF: Grade 2 REF: Lesson 33 OBJ: 59 Solve a contextual problem that involves probability and permutations 64 Solve a contextual problem that involves combinations and probability TOP: Probabilities Using Counting Methods KEY: probability permutation 7 ANS: C PTS: DIF: Grade 2 REF: Lesson 34 OBJ: 2 Classify events as mutually exclusive or non-mutually exclusive, and explain the reasoning 22 Determine if two events are complementary, and explain the reasoning 23 and non-mutually exclusive events 24 Solve a contextual problem that involves the probability of TOP: Mutually Exclusive Events KEY: probability mutually exclusive 8 ANS: A PTS: DIF: Grade 2 REF: Lesson 34 OBJ: 2 Classify events as mutually exclusive or non-mutually exclusive, and explain the reasoning 22 Determine if two events are complementary, and explain the reasoning 23 and non-mutually exclusive events 24 Solve a contextual problem that involves the probability of TOP: Mutually Exclusive Events KEY: probability mutually exclusive 9 ANS: C PTS: DIF: Grade 2 REF: Lesson 34 OBJ: 2 Classify events as mutually exclusive or non-mutually exclusive, and explain the reasoning 22 Determine if two events are complementary, and explain the reasoning 23 and non-mutually exclusive events 24 Solve a contextual problem that involves the probability of TOP: Mutually Exclusive Events KEY: probability mutually exclusive 0 ANS: D PTS: DIF: Grade 2 REF: Lesson 34 OBJ: 2 Classify events as mutually exclusive or non-mutually exclusive, and explain the reasoning 22 Determine if two events are complementary, and explain the reasoning 23 and non-mutually exclusive events 24 Solve a contextual problem that involves the probability of TOP: Mutually Exclusive Events KEY: probability mutually exclusive odds against 2
ANS: C PTS: DIF: Grade 2 REF: Lesson 35 OBJ: 32 Determine the probability of an event, given the occurrence of a previous event 6 Solve a contextual problem that involves odds or probability TOP: Conditional Probability KEY: probability dependent events 2 ANS: C PTS: DIF: Grade 2 REF: Lesson 35 OBJ: 32 Determine the probability of an event, given the occurrence of a previous event 6 Solve a contextual problem that involves odds or probability TOP: Conditional Probability KEY: probability conditional probability 3 ANS: B PTS: DIF: Grade 2 REF: Lesson 36 OBJ: 3 Compare, using examples, dependent and independent events 33 Determine the probability of two dependent or two independent events 34 Create and solve a contextual problem that involves determining the probability of dependent or independent events 6 Solve a contextual problem that involves odds or probability TOP: Independent Events KEY: probability independent events 4 ANS: D PTS: DIF: Grade 2 REF: Lesson 36 OBJ: 3 Compare, using examples, dependent and independent events 33 Determine the probability of two dependent or two independent events 34 Create and solve a contextual problem that involves determining the probability of dependent or independent events 6 Solve a contextual problem that involves odds or probability TOP: Independent Events KEY: probability independent events SHORT ANSWER ANS: No Player should score points more often PTS: DIF: Grade 2 REF: Lesson 3 OBJ: 4 Determine the probability of, or the odds for and against, an outcome in a situation 5 Explain, using examples, how decisions may be based on probability or odds and on subjective judgments 6 Solve a contextual problem that involves odds or probability TOP: Exploring Probability KEY: probability fair game 2 ANS: 2 : 3 PTS: DIF: Grade 2 REF: Lesson 32 OBJ: Provide examples of statements of probability and odds found in fields such as media, biology, sports, medicine, sociology and psychology 2 Explain, using examples, the relationship between odds (part-part) and probability (part-whole) 3 Express odds as a probability and vice versa 4 Determine the probability of, or the odds for and against, an outcome in a situation 5 Explain, using examples, how decisions may be based on probability or odds and on subjective judgments 6 Solve a contextual problem that involves odds or probability TOP: Probability and Odds KEY: probability odds in favour 3
3 ANS: 045% PTS: DIF: Grade 2 REF: Lesson 33 OBJ: 59 Solve a contextual problem that involves probability and permutations 64 Solve a contextual problem that involves combinations and probability TOP: Probabilities Using Counting Methods KEY: probability permutation 4 ANS: 375% PTS: DIF: Grade 2 REF: Lesson 34 OBJ: 2 Classify events as mutually exclusive or non-mutually exclusive, and explain the reasoning 22 Determine if two events are complementary, and explain the reasoning 23 and non-mutually exclusive events 24 Solve a contextual problem that involves the probability of TOP: Mutually Exclusive Events KEY: probability mutually exclusive 5 ANS: 33% PTS: DIF: Grade 2 REF: Lesson 35 OBJ: 32 Determine the probability of an event, given the occurrence of a previous event 6 Solve a contextual problem that involves odds or probability TOP: Conditional Probability KEY: probability conditional probability 4
PROBLEM ANS: P(windy) is 30%, so P(calm) is 00% 30% or 70% P(win windy) = 50% P(lose windy) = 00% 50% or 50% P(win calm) = 70% P(lose calm) = 00% 70% or 30% P(win) = P(windy win) + P(calm win) P(win) = 05 + 049 P(win) = 064 The probability that Debra s team will win tomorrow is 64% PTS: DIF: Grade 2 REF: Lesson 35 OBJ: 32 Determine the probability of an event, given the occurrence of a previous event 6 Solve a contextual problem that involves odds or probability TOP: Conditional Probability KEY: probability conditional probability 5