16. Two hundred students are enrolled in at least one 12U math course. Sixty eight students take Advanced Functions, 78 students take Data Management, 60 take Advanced Functions and Calculus, 35 take Calculus and Data Management, 13 take Data Management and Advanced Functions, and 10 take all three courses. a. Draw a Venn diagram and fill in the missing values. b. Determine the probability that a student takes Calculus if it is known that the student takes Data Management. (4A, 2C) 17. A survey indicated that 60% of the people watch television. Of those people, 70% watch more than one hour per day and the rest watch less than one hour. Determine the probability that a person, chosen at random, watches more than one hour of television per day. (2K) 18. The probability of rain tomorrow is 0.7. The probability of rain the next day is 0.55. The probability of rain the day after that is 0.4. Determine the probability that it will be rainy on two of the next three days. (3A) least A quality control inspector rejects a large bater ducts In a ra . pile of 10 products from the batch too Care unitective. ability of a defective product is 0(03,No probentity the gigs rejected? lar and outlet hes 12 young employees, live one females. for are selected at random to work the counter rather than the hot tisue Sobability .that dad employees are female PT2k] way half the selected employees are females? 13Al gasstation conducts a contest in which listen Best question. The DI estimates this the probability of the probability that the third caller is aPRESTIGE SCHOOL Teacher: Student: Talin Course : Mathematics of Data Management Date: Nov 2 (MDM4U) Knowledge Application Thinking Communication Total more Probability Assignment 1. What is the probability of choosing a king from a standard deck of playing cards? (2K) 2. What is the probability of choosing a. a green marble from a jar containing 5 red, 6 green and 4 blue marbles? (2K) b. a marble that is not blue? (2A) 3. What is the probability of getting an odd number when rolling a single 6-sided die? (2A) What is the probability of choosing a jack or a queen from a standard deck of 52 playing cards? (2K) 5. What is the probability of landing on an odd number after spinning a spinner with 7 equal sectors numbered 1 through 7? (2A) 6. What is the probability of getting a 7 after rolling a single die numbered 1 to 6? (2K) 7. What is the probability of choosing the letter i from the word probability? (2A) 8. A student writes a multiple choice test that consists of 3 questions, each with 4 choices. What is the probability that the student has a perfect mark on the test by guessing? (2T) 9. A number between 1 and 50 is randomly chosen. What is the probability of the number being a perfect square? (2T) 10. Find the probability that when a single card is drawn from a regular deck of cards a diamond or six is chosen. (2T) 11. Out of a group of 100 people, 63 are adults and 37 are children. Of the adults, 31 have brown eyes, and of the children, 29 have brown eyes. If a person is selected at random, determine the probability of that person being a child if the color of eyes is known to be brown. (2T) 12. In a school, 70% of the students listen to music. Of those, 60% listen to rock music, 20% listen to dance music, and 10% listen to classical music. Determine the probability that a student chosen at random listens to dance music. (2A) 13. Determine the probability that when a coin is flipped 3 times, tails occur, then heads, then tails. (2A) 14. A six-sided die is rolled at the same time as a coin is tossed. Draw a tree diagram that represents all possible results of the two actions together. Determine the theoretical probability that an odd number on the die and the coin toss is heads. (3A, 2C) 15. Determine the theoretical probability of each of the following situations: a. a red seven is drawn from a deck of 52 cards; (2K) b. two dice are rolled and both numbers are even; c. a spin wheel, numbered from 1 to 8, is spun twice and the sum is 12. Explain your solution. (6T, 2C)