# Probability --QUESTIONS-- Principles of Math 12 - Probability Practice Exam 1

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1 Probability --QUESTIONS-- Principles of Math - Probability Practice Exam

2 Principles of Math : Probability Practice Exam Use this sheet to record your answers: Copyright Barry Mabillard, 006 Principles of Math - Probability Practice Exam

3 PART A - MULTIPLE CHOICE (non - calculator) SECTION I There are 0 questions in this part of the practice exam. Two fair six-sided die are rolled and the face values are added. The probability of obtaining an odd number greater than 8 is 6 4. In a game, each spinner is spun once and the results are added. The probability that the sum is an even number is 7 Principles of Math - Probability Practice Exam

4 . A jar contains chocolate chip cookies and x oatmeal cookies. Two cookies are pulled from the jar without replacement. An expression that represents the probability one cookie is chocolate chip and the next cookie is oatmeal is x x+ x+ x x+ x+ x x+ x+ x+ x+ 4. Three cards are pulled from a deck of cards. The probability of obtaining at least one club is P P P P C C C C. If a fair six-sided die is tossed twice, the probability that the first toss will be a number less than 4 and the second toss will be a number greater than 4 is Principles of Math - Probability Practice Exam 4

5 6. Three different DVD s and their corresponding DVD cases are randomly strewn about on a shelf. If a young child puts the DVD s in the cases at random, the probability of correctly matching all DVD s and cases is!!! 6! 7. In a playoff series, the probability that Team A wins over Team B is, and the probability that Team C wins over Team D is 4. If the probabilities are 7 independent, the probability that Team A wins and Team C loses is 7 8. A digit PIN number can begin with any digit (except zero) and the remaining digits have no restriction. If repeated digits are allowed, the probability of the PIN code beginning with a 7 and ending with an 8 is Principles of Math - Probability Practice Exam

6 . The diagram below shows the results of a game where discs are thrown into two circles. The value of P( A ) is ( ) 0. The value of P B A is Principles of Math - Probability Practice Exam 6

7 PART A: MULTIPLE CHOICE (calculator permitted) SECTION II There are questions in this part of the practice exam. Two cards are drawn without replacement from a deck of cards. The probability of the first card being a red face card and the second card being a club is 4 04 In a small town with two schools, 000 students were asked if they had a cell phone. The results of the survey are shown below:. The probability that a randomly selected student has a cell phone and is from School B is, to the nearest hundredth Use the following information to answer questions and Students who have a cell phone Students who do not have a cell phone Total School A 6 6 School B Total The probability that a randomly selected student has a cell phone given that the student attends School B is Principles of Math - Probability Practice Exam 7

8 Use the following information to answer questions 4 and In a particular city, 8% of the residents have a desktop computer, 47% have a desktop computer and a laptop computer, and % have neither a desktop nor a laptop computer. 4. The probability that a randomly selected home has a laptop computer is % 6% 7% 7%. Given that a randomly selected home has a desktop computer, the probability this home does not have a laptop computer is There are runners in a marathon. A person may bet on the race by correctly selecting the top three runners and the order they finish in. All runners have an equal chance of winning. The probability that a single bet will win is Principles of Math - Probability Practice Exam 8

9 Use the following information to answer questions 7, 8, and Bag A contains four metal balls (darker) and six glass balls (lighter). Bag B contains five metal balls and two glass balls. Bag A Bag B In a game, a person rolls a die to determine which bag to pull a ball out of. If the die rolls a or, the ball is pulled from Bag If the die comes up, 4,, or 6, the ball is pulled from Bag 7. The probability of selecting a metal ball is If a metal ball is selected, the probability it was pulled from Bag B is If two balls are pulled out of Bag B without replacement, the probability they are both made of the same material is Principles of Math - Probability Practice Exam

10 0. A survey determines that in a particular town, % of the residents jog, 4% bike, and % do both activities. The probability that a randomly selected person does neither activity is Five cards are dealt from a deck of cards. The probability of obtaining black cards and red face cards is In a junior football league, % of the players come from Western Canada, and 4% are from Eastern Canada. From this league, 7% of the Western players and % of the Eastern players will go on to the CFL. If a randomly chosen CFL player who came from the junior league is selected, the probability he came from Eastern Canada is Principles of Math - Probability Practice Exam 0

11 Use the following information to answer questions and 4 A trick coin is designed so the probability it will land heads is 8.. If the coin if flipped times, the probability that the first flips are heads and the third flip is tails is If the coin is flipped until exactly two tails appear, the probability it will take exactly three flips to obtain the second tail is Principles of Math - Probability Practice Exam

12 Use the following information to answer questions and 6 Bag A contains three metal balls and six glass balls, and Bag B contains four metal balls and three glass balls. Bag A Bag B In a game, a person rolls a die to determine which bag to pull a ball out of. If the die rolls a, or, the ball is pulled from Bag If the die comes up 4,, or 6, the ball is pulled from Bag. The probability that a glass ball is selected is If the ball selected is made of glass, the probability it came from Bag B is Out of 0 people, like corn, like corn and carrots, and 7 like neither corn nor carrots. The probability a randomly selected person will like only carrots is Principles of Math - Probability Practice Exam

13 8. The probability of having a particular disease is %. The test to determine if a person has this disease is 8% accurate. The probability that a randomly selected person tests positive is Use the following information to answer questions and 0 Bag A contains four metal balls and six glass balls, and Bag B contains five metal balls and two glass balls.. A ball is randomly selected from Bag A and placed in Bag A ball is then pulled at random out of Bag The probability that the ball from Bag B is metal is If a metal ball was selected from Bag B, then the probability that a glass ball was transferred from Bag A to Bag B is Principles of Math - Probability Practice Exam

14 . A five card hand is dealt from a deck of cards. The probability the hand contains diamonds and black cards is If % of the population has a specific disease, and the test for this disease is % accurate, the probability a person does not have the disease given that the test result is positive is If a five card hand is dealt from a deck of cards, the probability the hand contains exactly one heart is If a five card hand is dealt from a deck of cards, the probability the hand contains at least one heart is Principles of Math - Probability Practice Exam 4

15 . A grocery story obtains % of its produce from vendor A, and 6% of its produce from vendor It is expected that spoilage will result in % of vendor A s produce and 7% of vendor B s produce to be discarded. The probability a randomly picked produce item came from vendor A, given that it was picked from the discard pile, is Seven people are randomly selected from a group of 0 men and women to form a committee. The probability exactly males are on the committee is Five balls are drawn without replacement from a bag containing metal balls and glass balls. The probability at least glass balls are drawn is Principles of Math - Probability Practice Exam

16 8. A security code consists of 8 digits, which may be any number from 0 to. (The first digit is allowed to be zero) Repetitions are allowed. The probability a particular code begins with exactly two 7 s, to the nearest hundredth, is A bookcase contains 6 different math books and different physics books. If a student randomly selects two of these books, the probability they are both math books or both physics books is 4 7 Principles of Math - Probability Practice Exam 6

17 PART B: WRITTEN RESPONSE ) A Principles of Math student flipped a coin 4 times and recorded the results in the chart shown below Trial : TTH Trial : HTH Trial : HHH Trial 4: HHH Trial : HTT Trial 6: HTH Trial 7: TTT Trial 8: THT Trial : HTH Trial 0: TTH Trial : TTT Trial : HHT Trial : HTT Trial 4: THT Based on the experimental results in the chart, determine the probability of obtaining three tails on a given trial Using the sample space of flipping a coin three times, determine the theoretical probability of obtaining three tails. Briefly account the difference between the two answers. Principles of Math - Probability Practice Exam 7

18 ) In a game, discs are thrown into two circles on the other side of the room, as shown in the diagram. Calculate the probability of a disc being in Circle Calculate the probability of a disc being in Circle Calculate the probability of a disc being in Circle and Circle Calculate the probability of a disc being in Circle or Circle Calculate the probability of a disc not being in circle Calculate the probability of a disc not being in Circle or Circle Principles of Math - Probability Practice Exam 8

19 ) A five card hand is dealt from a deck of cards. What is the probability of receiving: Four aces Three 0 s At most one queen At least three black cards Principles of Math - Probability Practice Exam

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