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1 Discrete Math Exam Review Name:. A bag contains oranges, grapefruits, and tangerine. A piece of fruit is chosen from the bag at random. What is the probability that a grapefruit will be chosen from the bag? A. B. C. D.. Jessica owns red shirts, blue shirts, and white shirts. She chooses a shirt to wear at random. What is the probability that she chooses a red shirt? A. B. C. D.. A number cube is rolled times. A number less than four comes up 0 times. What is the experimental probability that a number less than four is rolled? A. B. C. D.. A jar contains black and white marbles. Priscilla draws a marble from the jar. What is the probability that she drew a black marble? A. B. C. D. 0. A coin is flipped times, and it comes up heads 0 times. What is the experimental probability that the coin comes up heads? A. B. C. 0 D. 6. A coin is flipped 8 times and it comes up tails times. What is the experimental probability that the coin comes up tails? A. B. C. 8 D.

2 . Tim throws darts at a dartboard that has numbers through 0 and a bull s-eye 0 times, and hits the bull s-eye 6 times. What is the experimental probability that Tim hits the bull s-eye? A. 0 B. 6 C. D. 8. Tim throws darts at a dartboard that has numbers through 0 and a bull s-eye 0 times, and hits the bull s-eye 0 times. What is the experimental probability that Tim hits the bull s-eye? A. 0 B. 0 C. D.. A number cube is rolled 0 times, and a six comes up times. What is the experimental probability that a six is rolled? A. B. 6 C. D A number cube is rolled 0 times, and a number less than four comes up times. What is the experimental probability that a number less than four is rolled? A. 6 B. C. D.. A number cube is rolled 0 times and a number less than five comes up 0 times. What is the experimental probability that a number GREATER than four is rolled? A. 0 B. C. 0 D.. A number cube is rolled times, and a four is rolled 6 times. What is the experimental probability that a four is NOT rolled? A. B. 6 C. 6 D.. A spinner used for a game is divided into sections: yellow, brown, and orange. Janie spins the spinner 8 times. The spinner lands on yellow 8 times. What is the experimental probability that the spinner does NOT land on yellow? A. B. C. D.

3 . A spinner used for a game is divided into sections: yellow, brown, red, and orange. Janie spins the spinner 0 times. The spinner lands on brown 6 times. What is the experimental probability that the spinner does NOT land on brown? A. B. 0 C. 0 D.. A jar contains 6 red and 8 blue marbles. A marble is drawn from the jar. What is the probability that a red marble is drawn? A. B. C. 6. A jar contains red and 8 blue marbles. A marble is drawn from the jar. What is the probability that a red marble is drawn? A. B. C. D.. A person is chosen at random from a room that contains 0 men and 6 women. What is the probability that a woman is chosen? A. 8 B. C. 8 D. 8. A person is chosen at random from a room that contains men and 6 women. What is the probability that a woman is chosen? A. B. C. D. 0. Jess owns red shirts, blue shirts, and white shirts. She chooses a shirt to wear at random. What is the probability that she chooses a white shirt? A. B. C. D. 0. Jess owns red shirts, blue shirts, and white shirts. She chooses a shirt to wear at random. What is the probability that she chooses a white shirt? A. B. C. D.

4 . A bag contains oranges, grapefruits, and 8 tangerines. A piece of fruit is chosen from the bag at random. What is the probability that a grapefruit is NOT chosen? A. B. C. D.. A bag contains 6 oranges, 0 grapefruits, and 8 tangerines. A piece of fruit is chosen from the bag at random. What is the probability that a grapefruit is NOT chosen? A. B. C. D.. A fair number cube is rolled. What is the probability that a number greater than four is rolled? A. B. C.. A fair number cube is rolled. What is the probability that an odd number is rolled? A. B. C. 6 D.. A card is chosen at random from a deck of cards. It is replaced and a second card is chosen. What is the probability of choosing a King and an Ace? A. 6 B. C. 6 D. 6. A number cube is rolled and a coin is tossed. What is the probability of the coin landing on tails and rolling a six on the number cube? A. B. C.. A coin is tossed and a spinner numbered to is spun. What is the probability of getting an even number and tails? A. B. C. D.

5 8. Three cards are chosen from a standard deck of playing cards with replacement. What is the probability every card will be a heart? A. B. 6 C. D.. A spinner numbered to 6 is spun twice. What is the probability of getting a on the first spin and an even number on the second spin? A. B. C. 0. Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either a or an? A. B. 8 C. D.. A bag contains 8 blue marbles, 6 red marbles, and green marbles. What is the probability of selecting a blue marble, replacing it in the bag and then selecting a red marble? A. B. C. D.. Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either a or an 8? A. 6 B. 6 C. 68 D.. A bag contains red marbles, blue marbles,and green marbles. What is the probability of selecting a red marble, replacing it in the bag and then selecting a green marble? A. 0 B. C. 0 D. 0. A five-sided solid has the numbers,,,, and. What is the probability of rolling two five-sided number solids and getting a sum of either a or an 8? 6 A. 6 B. 6 6 C. D.

6 . A card is chosen at random from a deck of cards. It is replaced and a second card is chosen. What is the probability both cards will be an Ace? A. 6 B. C. 6 D. 6. A number cube is rolled and a coin is tossed. What is the probability of the coin landing on tails and rolling a six on the number cube? A. B. ` C. 6 D.. A coin is tossed and a spinner numbered to is spun. What is the probability of getting an odd number and heads? A. B. C. D. 8. Three cards are chosen from a standard deck of playing cards without replacement. What is the probability every card will be an Ace? A. B. 6 C.. A spinner numbered to 6 is spun twice. What is the probability of getting a on the first spin and an odd number on the second spin? A. B. C. 0. Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either a 6 or an 8? A. B. 8 C. D.. A bag contains 8 blue marbles, 6 red marbles, and green marbles. What is the probability of selecting a red marble, replacing it in the bag and then selecting a green marble? A. B. C. D.

7 . Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either a or a 0? A. 6 B. 6 C. 68 D.. A bag contains red marbles, blue marbles and green marbles. What is the probability of selecting a blue marble, replacing it in the bag and then selecting a green marble? A. 0 B. C. 0 D. 0. A five-sided solid has the numbers,,,, and. What is the probability of rolling two five-sided number solids and getting a sum of either a or an 8? 6 A. 6 B. 6 6 C. D.. A bag contains red marbles and blue marbles. What is the probability of randomly selecting a blue marble and then, without replacing it, selecting a red marble? A. 8 B C A bag contains 6 red marbles and 0 blue marbles. If two marbles are chosen at random, one at a time without replacement, what is the probability of getting two red marbles? A. 6 B. 6 C Dianna has quarters, dimes, and nickels in her purse. She reaches into her purse and randomly grabs two coins, one at a time. What is the probability of first picking a dime and then, without replacing it, selecting a nickel? A. 0 B. C. 0 D Two cards are randomly chosen from a standard deck of playing cards without replacement. What is the probability both cards will be hearts? 8 A. 66 B. C. 66

8 . A sock drawer has 8 blue socks and 6 black socks. If I randomly select two socks, one at a time, what is the probability I will first get a blue sock and then, without replacing it, a black sock? A. B. 6 C. 8 D. 0. A bag contains blue marbles, 6 red marbles, and green marbles. Two marbles are drawn at random, one at a time and without replacement. What is the probability of selecting two blue marbles? A. B. C. D A bag contains blue marbles, 6 red marbles, and green marbles. Two marbles are drawn at random, one at a time. What is the probability of selecting a green marble and then, without replacing it, a red marble? A. 8 B. 0 C. 0 D cards are numbered from to 0 and placed in a box. One card is selected at random and is not replaced. Another card is then randomly selected. What is the probability of selecting two prime numbers? A. B. 8 C. 0 D. 0. A bag contains red marbles, blue marbles, and green marbles. What is the probability of randomly selecting a red marble then, without replacing it, randomly selecting a green marble? A. B. C. D Two friends are taking an English class that has a monthly reading list. Once a student chooses a book from the list, no other student can choose that book. If there are mystery and romance books left, what is the probability that the first friend will randomly select a mystery book and the second friend will randomly select a romance book? 6 A. B. C. D.

9 . A bag contains red marbles and blue marbles. If two marbles are chosen at random, one at a time and without replacement, what is the probability of getting two red marbles? A. 8 B C A bag contains 0 green marbles and yellow marbles. If two marbles are chosen at random, one at a time and without replacement, what is the probability of getting tow green marbles? A. 6 B. 6 C. 6. DeAnna has quarters, dimes, and nickels in her purse. She reaches into her purse and randomly grabs two coins, one at a time. What is the probability DeAnna will first grab a quarter and then, without replacing it, grab a nickel? A. 0 B. C. 0 D Two cards are randomly chosen, one at a time, from a standard deck of playing cards without replacement. What is the probability both cards will be an Ace? 8 A. 66 B. C.. A sock drawer has 8 blue socks and 6 black socks. A sock is chosen at random. Then, without replacing that sock, another sock is chosen at random. What is the probability of choosing two blue socks? A. B. 6 C. 8 D. 60. A bag contains blue marbles, 6 red marbles, and green marbles. Two marbles are drawn at random. What is the probability of first drawing a blue marble and then, without replacing it, drawing a red marble? A. 0 B. 8 C. D. 0

10 6. A bag contains blue marbles, 6 red marbles, and green marbles. Two marbles are drawn at random, one at a time and without replacement. What is the probability of selecting two red marbles? A. B. C. D cards are numbered from to 0 and placed in a box. One card is selected at random and is not replaced. Another card is then randomly selected. What is the probability of selecting two numbers that are less than 6? A. B. 8 C. D. 6. A bag contains red marbles, blue marbles, and green marbles. What is the probability of randomly selecting a blue marble, then without replacing it, randomly selecting a green marble? A. B. C. D Two friends are taking an English class that has a monthly reading list. Once a student chooses a book from the list, no other student can choose that book. If there are mystery and romance books left, what is the probability that both friends randomly select a romance book, one after the other? 6 A. B. C. D. 6. Evaluate the expression. Choose the best answer.! A. 80 B. 0 C. 0,0 D., Evaluate the expression. Choose the best answer.! A. 0,0 B. 6,880 C.,68,800 D.,6, Evaluate the expression. Choose the best answer.! A.,00 B. 6,880 C. 6,880 D. 0,0 68. Evaluate the expression. Choose the best answer.! A. 0 B. 0 C. 0 D. 80

11 6. Evaluate the expression. Choose the best answer.! +! 6! A. 86, B. 0,80 C. 86, D. 8, 0. Evaluate the expression. Choose the best answer. 8! + 6!! A.,60 B.,60 C. 0,0 D.,06. Evaluate the expression. Choose the best answer.! 6! A. 6,60 B. 6,880 C. 6,600,60. Evaluate the expression. Choose the best answer.!! 6! A. 0,0 B. 0,00 C. 0,000 D.,0. Evaluate the expression. Choose the best answer.!! A. 80 B. 0 C. 0 D.,0. Evaluate the expression. Choose the best answer.!! A. 0,0 B. 6,80 C. 60,80 8. Evaluate the expression. Choose the best answer. 6 P A. 60 B. 6 C. 0 D Evaluate the expression. Choose the best answer. 8 P A. 6,0 B. 86 C.,680. Evaluate the expression. Choose the best answer. 0 P 8 A. 60,800 B. 0,0 C.,8,00 D.,68, Evaluate the expression. Choose the best answer. 8 P A. 8,6 B. 6 C.,680 D. 0,60

12 . A college questionnaire was distributed among high school students asking each student to rank the items he or she would like to learn more about. There are five items: financial aid, tuition, class schedule, dormitories, and cost of books. In how many ways can the student answer this questionnaire? A. 0 ways B. ways C. 0 ways D.,00 ways 80. A college questionnaire was distributed among high school students asking each student to rank the items he or she would like to learn more about. There are six items: financial aid, tuition, class schedule, dormitories, student organizations, and cost of books. In how many ways can the student answer this questionnaire? A.,00 ways B. 0 ways C. 0 ways ways 8. A home alarm system randomly assigns a four-character code for each person. The code will not repeat a character. The characters are,,,, M, V, T, or R. What is the total number of codes that can be randomly assigned? A. 6,0 codes B.,680 codes C. 6 codes D. 0,60 codes 8. A home alarm system randomly assigns a five-character code for each person. The code will not repeat a character. The characters are 0,,,,,, M, V, T, G, Y, or R. What is the total number of codes that can be randomly assigned? A.,0 codes B.,00 codes C.,0 codes D.,880 codes 8. The neighborhood association sent a survey asking families to rank their concerns for the neighborhood. The four items listed were crime, recycling, speeding, and trash collection. In how many ways can a family answer this survey? A. 0 ways B. 6 ways C. 8 ways D. ways 8. The neighborhood association sent a survey asking families to rank their concerns for the neighborhood. The eight items listed were crime, recycling, speeding, pool safety, noise, parking, graffiti, and trash collection. In how many ways can a family answer this survey? A. 0 ways B. 0 ways C.,00 ways D. 0,0 ways

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