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1 Math 3201 Unit 3 Probability Assignment 1 Unit Assignment Name: Part 1 Selected Response: Instructions: Choose the best answer and shade the corresponding space on the answer sheet provide. Be sure to include your name and student numbers. 1. A soccer player has 17 attempts on net and 11 goals scored. What are the odds against of her scoring a goal on her next attempt? 6 : 11 6 : : 6 17 : 6 2. Sally plays defence in hockey. The odds in favor of Sally scoring a goal in a shootout is. What is the probability that Sally will not score on her next shot? 3. A committee of four people will be randomly chosen from a group of seven people; females and males. Which represents the probability of selecting a committee with at least three females? ( ) ( )
2 4. A and B are mutually exclusive events. The probability of A not occurring,, is, and the probability of B occurring, is, what is the probability that they will both occur? 5. A school newspaper published the results of a recent survey, which are shown below. Determine the probability that a randomly selected student eat only lunch You have a sixsided die with each side numbered one through six. You also have a coin with heads on one side and tails on the other. What is the probability of rolling a number greater than 4 with the die and getting a tails with the coin? 7. Mark, Abby and 2 other students are running for class president and vice president. Determine the odds in favor that Mark and Abby get picked?
3 8. A deck of 40 cards consist of 4 different colored sets: red, blue, green, and yellow. Each set is numbered from 0 to 9 as shown below. If two cards are randomly picked from the deck without replacement what is the probability that the first card is blue, and the second card is green or yellow? 9. A 3digit number is generated at random from the digits 1, 2, 3, 4, and 5, what is the probability that the number will be divisible by 2? 10. Which of the following events is mutually exclusive? Rolling a product of 10 or a sum of 7 with a pair of sixsided die. Picking a number from 1 15 that is divisible by 3 and 12. Selecting a prime number or selecting an odd number from Picking a face card or an ace out of a deck or cards. 11. John says that there is a 60% chance that is will rain tomorrow. If 40% of the time John goes for a jog when it is sunny, what is the probability that he will go for a jog tomorrow
4 12. Which of the following are independent events? Picking a pair of socks out of a drawer. Picking a blue marble then an green marble out of a bag without replacement.. Dealing two cards from a standard deck of cards and getting a king on the first card and a king on the second card if the first card is not replaced. Rolling a 3 on a dice and tossing heads on a coin. 13. Of all the Dodge cars that are for sale in Canada do not have heated seats, have a sunroof. Determine the probability that the Dodge cars will have only heated seats In the following Venn diagram D represents the students on the debate team, B represents the students on the basketball team. Determine the probability that the first person you meet will be only one of the team A jar contains three different color jelly beans. There are 4 green, 5 white and 6 orange jelly beans in the jar. Jim doesn t like orange beans. Students were asked to write an expression representing the probability he picks 2 colored beans that he likes. Which student correctly identified the probability? Dana Lesley Sam Tony Tony Sam Lesley Dana
5 Part 2 Constructed Response: Instructions: Complete all of the following in the space provided. Be sure to show all workings and present answer in a clear and concise manner. 16. A three digit pincode is created using any combination of the digits 3, 4, 5, 6 and 7. What is the probability that the pincode is an even number? ( 2 ) Will the probability change in part if the digits 4, 5, 6, 7, 8 are used? ( 2 ) Justify your answer. 18. Joanne is sometimes late for school in the mornings. Based on her track record, there ( 3 ) is an 90% chance of being on time when she remembers to set her alarm clock and a 30% chance when she doesn t. Tomorrow there is a 70% chance that Joanna will set her alarm clock. What is the probability that she will be on time for school tomorrow?
6 18. The Student Council in NL High consists of 7 girls and 5 boys. A 5person winter carnival committee is to be randomly chosen from the members of the council. What is the probability that the committee will consist of 2 girls and 3 boys? ( 2 ) What is the probability that the committee will all boys or all girls? ( 2 ) 19. A person will be randomly selected from a group to draw a marble from a bag. ( 2 ) The odds of selecting a female from the group is 8:7 and the odds of drawing a red marble from the bag are 5:4. What is the probability of a nonred marble being drawn from the bag by a male from the group?
7 20. A bubble gum machine contains 4 blue, 3 red, 8 yellow, 5 green and 6 black gumballs. Johnny likes only blue, green and red gumballs. Jesse says that odds of Johnny getting a gum that he likes is. Do you agree or disagree with Jesse s statement? Justify your answer. ( 1 ) What is the probability of Johnny getting a gumball that he doesn t like? ( 1 )
Instructions: Choose the best answer and shade in the corresponding letter on the answer sheet provided. Be sure to include your name and student ID.
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